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Vol. 74, No. 21 (2025)

2025-11-05
SPECIAL TOPIC—Quantum information processing
Latest research progress of quantum identity authentication
WANG Xingfu, ZHENG Yanyan, GU Shipu, ZHANG Qi, ZHONG Wei, DU Mingming, LI Xiyun, SHEN Shuting, ZHANG Anlei, ZHOU Lan, SHENG Yubo
2025, 74 (21): 210302. doi: 10.7498/aps.74.20250920
Abstract +
The absolute security of quantum communication protocols relies on a critical premise: all participating parties are legitimate users. Ensuring the legitimacy of participant identities is paramount in complex real-world communication environments. Quantum identity authentication (QIA), in which fundamental principles of quantum mechanics are used to achieve unilateral or mutual authentication between communicating parties, constitutes an indispensable core component for building a comprehensive quantum secure communication system. It holds significant research value in the field of quantum communication.This review employs a comparative classification method to systematically outline the research trajectory of QIA protocols. By categorizing protocols based on the required quantum resources and the types of quantum protocols employed, the advantages and disadvantages of various categories are analyzed in terms of efficiency, security, and practicality. Single-photon protocols require low resources, and they are easy to implement, and compatible with existing optical components, but require high-efficiency single-photon detectors and exhibit weak noise resistance. Entangled-state protocols offer high security and strong resistance to eavesdropping, particularly suitable for long-distance or multi-party authentication. However, they greatly depend on the preparation and maintenance of high-precision, stable multi-particle entanglement sources, resulting in high experimental complexity. Continuous-variable (CV) protocols achieve high transmission efficiency in short-distance metropolitan area networks and are compatible with classical optical communication equipment, making experiments relatively straightforward. Yet, they require high-precision modulation technology and are sensitive to channel loss. Hybrid protocols aim to balance resource efficiency and security while reducing reliance on a single quantum source, but their design is complex and may introduce new attack vectors. Quantum key distribution (QKD) framework protocols embed identity authentication in the key distribution process, making them suitable for scenarios requiring long-term secure key distribution, although they often depend on pre-shared keys or trusted third parties. Quantum secure direct communication (QSDC) framework protocols integrate authentication with secure direct information transmission, offering high efficiency for real-time communication, but requiring high channel quality. Measurement-device-independent QSDC (MDI-QSDC) represents a key development direction that can resist attacks on measurement devices. Quantum teleportation (QT) framework protocols achieves cross-node authentication and unconditional security, making it suitable for quantum relay networks despite its high experimental complexity. The entanglement swapping framework protocol can resist conspiracy attacks and is suitable for multi-party joint scenarios, but it consumes a lot of resources and relies on trusted third party. Ping-pong protocol framework supports dynamic key updates and exhibits strong resistance to eavesdropping, making it suitable for temporary authentication on mobile terminals, although it typically only supports unilateral authentication and requires a bidirectional channel.Subsequently, this review details the latest QIA protocols of our research group, including a multi-party synchronous identity authentication protocol based on Greenberger-Horne-Zeilinger (GHZ) states, and a tripartite QSDC protocol with identity authentication capabilities utilizing polarization-spatial super-coding. The GHZ-based multi-party synchronous authentication protocol leverages the strong correlations inherent in GHZ states to achieve simultaneous authentication among multiple parties. Through a carefully designed two-round decoy-state detection mechanism, it effectively resists both external eavesdropping and internal attacks originating from authenticated users, thereby enhancing the efficiency and security of identity management in large-scale quantum networks. The core innovation of the polarization-spatial super-coding tripartite QSDC protocol lies in its deep integration of the authentication process with information transmission by utilizing the spatial degrees of freedom of single photons. This design accomplishes the identity verification of two senders and the transmission of secret information within a single protocol run, ensuring end-to-end security through a three-stage security check. This “authentication-as-communication” paradigm significantly improves the overall efficiency and practicality of the protocol. Its successful implementation also relies on advancements in quantum memory technology.Finally, the review outlines future research directions for quantum identity authentication and explores its potential applications in quantum communication. The QIA research needs to focus on reducing resource dependency, exploring more efficient protocol designs, further enhancing protocol integration and robustness, prioritizing the development of protocols adaptable to real-world environments, and actively investigating integration with novel scenarios. This comprehensive review aims to provide theoretical research foundations and technical support for the practical development of future quantum identity authentication.
SPECIAL TOPIC—Ultrafast physics in atomic, molecular and optical systems
Revisiting near-threshold photoelectron interference in argon with a non-adiabatic semiclassical model
TAO Jianfei, JIN Xin, WU Kefei, LIU Xiaojing
2025, 74 (21): 213201. doi: 10.7498/aps.74.20250999
Abstract +
Purpose: The interaction of intense, ultrashort laser pulses with atoms gives rise to rich non-perturbative phenomena, which are encoded within the final-state photoelectron momentum distribution (PMD). A particularly enigmatic feature often observed in the multiphoton ionization regime (Keldysh parameter $ \gamma \gtrsim 1 $), is a complex, fan-like interference pattern in the near-threshold, low-energy region of the PMD. The physical origin of this structure has been a subject of extensive debate, with proposed mechanisms ranging from multipath interference in the Coulomb field to complex sub-barrier dynamics. This work aims to provide a physical explanation for this phenomenon. We hypothesize and demonstrate that this fan-like structure is not only the consequence of Coulomb focusing, but also a direct and sensitive signature of non-adiabatic dynamics occurring as an electron tunnels through the laser-dressed atomic potential barrier. Our goal is to clearly separate the key physical ingredients responsible for shaping this quantum interference. Methodology: To achieve this, we employ a synergistic three-pronged approach that combines experiment, exact numerical simulation, and a sophisticated theoretical model.1. Experiment: We perform velocity-map imaging measurements on argon atoms ionized by a 798-nm 35-fs laser pulse at a peak intensity of $ 6.3 \times 10^{13} $ W/cm2, and the experimental results clearly show the low-energy fan-like interference pattern.2. Quantum Benchmark: We solve the time-dependent Schrödinger equation (TDSE) within the single-active-electron (SAE) approximation by using a well-established model potential for argon, which accurately reproduces its ionization potential and ground-state properties. After performing a focal-volume average to simulate experimental conditions, the TDSE results show excellent qualitative agreement with the measurements, establishing the TDSE as a reliable quantum benchmark for our investigation.3. Semiclassical Model (CTMC-p): The core of our analysis relies on a custom-developed semiclassical trajectory model based on the Feynman path-integral formulation. In this framework, ionization process is divided into two steps: (i) an electron tunnels through the potential barrier at an initial time $ t_0 $ and position $ {\boldsymbol{r}}_0 $, and (ii) it propagates classically in the combined laser and ionic fields according to Newton’s equations. Crucially, each trajectory is endowed with a quantum phase accumulated along its path, $ \varPhi_k $, allowing for the coherent summation of all trajectories ending with the same final momentum, $ M_j = \displaystyle\sum\nolimits_k {\mathrm{e}}^{{\mathrm{i}}\varPhi_k} $. Our model combines two critical physical effects beyond standard treatments:Non-Adiabatic Tunneling: We introduce a non-zero initial longitudinal momentum, $ v_{0 //} =-A(t_0)\times $$ \left(\sqrt{1+\gamma_{\text{eff}}^2}-1\right) $, acquired by the electron at the tunnel exit. This term accounts for the non-instantaneous nature of the tunneling process, a key non-adiabatic effect.Core Polarization: We include an induced dipole potential, $ U_{\text{ID}} = -\alpha^{\mathrm{I}} {\boldsymbol{E}}(t) \cdot {\boldsymbol{r}}/r^3 $, to model the dynamic polarization of the Ar+ ionic core, a multi-electron effect.By selectively including or excluding these effects, we can clearly isolate their respective contributions to the final PMD. Results: Our central finding is that the non-adiabatic initial longitudinal momentum is the decisive factor for correctly describing the near-threshold interference. The benchmark TDSE calculation for a single intensity of $ 5 \times 10^{13} $ W/cm2 ($ \gamma \approx 1.6 $) reveals a distinct 6-lobe interference pattern. A traditional semiclassical simulation based on the quasi-static tunneling approximation (i.e., setting $ v_{0//} = 0 $) qualitatively fails, predicting an incorrect 8-lobe structure. However, upon including the non-zero initial longitudinal momentum ($ v_{0//} \neq 0 $), our non-adiabatic semiclassical model quantitatively reproduces the correct 6-lobe structure, showing that it is in excellent agreement with the TDSE benchmark.To understand the underlying physics, we perform a quantum-orbit decomposition. This analysis reveals that the overall fan-like structure arises from the interference of multiple trajectory types, including “direct” (Category Ⅰ), “forward-scattered” (Category Ⅱ, and “glory-scattered” (Category Ⅲ) orbits. Although the entire structure arises from the collective interference of these paths, we pinpoint the origin of the lobe-count correction. The initial longitudinal momentum contributes a phase term, $ \Delta\varPhi_{\text{initial}} \approx -{\boldsymbol{v}}_{0//} \cdot {\boldsymbol{r}}_0 $, to the total accumulated action. We find that the relative phase between the “direct” and “glory” trajectories is exquisitely sensitive to this term due to their vastly different paths and birth conditions. It is this specific and dramatic change in the Ⅰ-Ⅲ interference channel that ultimately corrects the topology of the entire pattern, reducing the lobe count from 8 to 6. In contrast, other interference pairs, such as the holographic pair Ⅱ-Ⅲ, are largely robust against this effect as their nearly identical birth conditions cause the initial phase term to cancel out in their relative phase. In parallel, our simulations show that the ionic core polarization has a negligible effect on this low-energy structure, but is essential for accurately describing higher-energy rescattering features by smoothing unphysical caustics caused by a pure Coulomb potential. Conclusion: We demonstrate clearly that the near-threshold fan-like interference pattern in the multiphoton regime is a direct manifestation of non-adiabatic dynamics during tunneling, specifically the acquisition of a longitudinal momentum component by the electron during its finite-time passage under the potential barrier. Our findings not only provide a clear, intuitive, and orbit-based physical picture for this complex quantum phenomenon but also highlight the predictive power of semiclassical methods when crucial non-adiabatic effects are properly incorporated. This understanding lays a foundation for future investigations, including the extension of this model to more complex molecular systems and its application in retrieving attosecond electron dynamics from holographic interference patterns.
SPECIAL TOPIC—Technology of magnetic resonance
Near-zero-field nuclear magnetic resonance and hyperpolarization technology
LI Zeming, LV Yunxi, QI Haogang, QU Qianyue, TAN Zheng, WANG Li, JIANG Weiping, HU Yinan, ZHOU Xin
2025, 74 (21): 218701. doi: 10.7498/aps.74.20250771
Abstract +
Near-zero-field nuclear magnetic resonance (NMR) has become a rapidly developing spectroscopic and imaging method, providing promising opportunities for portable diagnostics and fast chemical analysis. A key technology is the atomic magnetometer, and its ongoing improvements have sparked growing interest in potential clinical applications.The near-zero-field NMR has long been limited by weak signal strength, but recent developments in the hyperpolarization method have provided an effective solution to this problem. Dissolution dynamic nuclear polarization (dDNP), parahydrogen-based polarization schemes (PHIP/SABRE), chemically induced dynamic nuclear polarization (CIDNP), and spin-exchange optical pumping (SEOP) have all demonstrated preliminary feasibility in this context.By combining such hyperpolarization strategies with near-zero-field detection, strong signals can be obtained without the need of traditional high-field magnets. This capability opens new pathways for applying near-zero-field NMR to both chemical sensing and biomedical imaging, enabling compact tools for rapid analysis and diagnostic applications. Here, we review the recent progress of the intersection of near-zero-field NMR and hyperpolarization techniques.
GENERAL
Thermal transport regulation at GaN/graphene/diamond heterojunction interfaces
LIU Dongjing, WANG Pengbo, HU Zhiliang, LU Jiaqi, XIAO Yu, HUANG Jiaqiang
2025, 74 (21): 210201. doi: 10.7498/aps.74.20250895
Abstract +
In order to ascertain the heat dissipation performance of high-power gallium nitride devices, the thermal transport characteristics of GaN/graphene/diamond heterostructures are investigated at heterogeneous interfaces through molecular dynamics simulations. This study focuses on phonon transport mechanisms and regulatory strategies in the interfacial regions. The key findings are summarized below.Comparative analysis of two contact configurations reveals that the Ga-C structure exhibits an interfacial thermal conductance three times higher than that of the N-C structure, which is attributed to its larger phonon cutoff frequency and enhanced interfacial phonon coupling as evidenced by phonon spectral analysis. The intrinsic heterostructure demonstrates no thermal rectification characteristics without interface engineering. The analysis of hydrogenation effects shows that although hydrogenation generally hinders interfacial heat transfer, the thermal conductance increases paradoxically with the increase of hydrogenation ratio. This counterintuitive phenomenon arises from hydrogen-induced lattice disorder/hybridization scattering causing phonon localization (particularly severe in GaN-side hydrogenation), while generating new phonon coupling channels. The elemental doping investigations show that nitrogen and boron doping leads to an initial increase and subsequent decrease in interfacial thermal conductance, while silicon doping produces monotonic enhancement. Overlap factor analysis indicates that N and B doping first strengthens then weakens interfacial phonon coupling, whereas Si doping significantly improves coupling through synergistic effects of strong interfacial interactions and phonon focusing. Comparative evaluation of two Si doping potential functions shows that the difference in thermal conductance results is negligible. The studies on doping morphology show that although linear doping configurations can cause systematic changes in graphene phonon spectra, their influence on interfacial thermal conductance is minimal.These findings offer critical theoretical insights into thermal management optimization of GaN-based devices and provide fundamental guidance for overcoming thermal dissipation bottlenecks in high-power electronic systems.
Distributions of asymptotic transformation rates among quantum states
GAO Dongmei
2025, 74 (21): 210301. doi: 10.7498/aps.74.20250877
Abstract +
In quantum resource theories, manipulating and transforming resource states are often challenging due to the presence of noise. The resource manipulation process from a high resource state $ {\boldsymbol \rho} $ to a low resource state $ {\boldsymbol \rho} ' $ involves asymptotic multiple state replicas, which can be considered as overcoming this problem. Here, the asymptomatic transformation rate $ R\left( {{\boldsymbol \rho} \to {\boldsymbol \rho} '} \right) $ can characterize the corresponding quantum manipulation power, and can be calculated as the ratio of the copy number of initial states to the copy number of target states. Generally, the precise computations of asymptotic transformation rates are challenging, so it is important to establish rigorous and computable boundaries for them. Recently, Ganardi et al. have shown that the transformation rate to any pure state is superadditive for the distillable entanglement. However, it remains a question whether the transformation rate to any noise state is also superadditive in the general resource theory. Firstly, we study the general superadditive inequality satisfied by the transformation rate $ R\left( {{\boldsymbol \rho} \to {\boldsymbol \rho} '} \right) $ of any noise state $ {\boldsymbol \rho} ' $. In any multiple quantum resource theory, we also show that the bipartite asymptomatic transformation rate obeys a distributed relationship: when $ \alpha \geqslant 1 $, $ {R^\alpha }\left( {{\boldsymbol \rho} \to {\boldsymbol \rho} '} \right) $ satisfies monogamy relationship. Using similar methods, we demonstrate that both the marginal asymptotic transformation rate and marginal catalytic transformation rate satisfies these relationships. As a byproduct, we show an equivalence among the asymptomatic transformation rate, marginal asymptotic transformations, and marginal catalytic transformations under some restrictions. Here marginal asymptotic transformations and marginal catalytic transformations are special asymptotic transformations, where the initial state can be reduced into target state at a nonzero rate. These inequality relationships impose a new constraint on the quantum resource distribution and trade off among subsystems. Recently, reversible quantum resource manipulations have been studied, and it is conjectured that transformations can be reversibly executed in an asymptotic regime. In the future, we will explore a conclusive proof of this conjecture and then study the distributions of these reversible manipulations.
Quantum entanglement entropy of collective excitations in a quasi-one-dimensional Bose-Einstein condensate
QI Ying, LIU Yanhong, QIAO Haoxue, ZHANG Wenxian
2025, 74 (21): 210303. doi: 10.7498/aps.74.20250808
Abstract +
Quasi-particle excitation in a Bose-Einstein condensate leads to quantum entanglement between real bosonic atoms in the system. By using spectral expansion method, the eigenvalues and eigenstates of Bogoliubov-de Gennes equation are numerically calculated in a quasi-one-dimensional infinite square well potential. For the low-energy collective excitations of the quasi-particles, we explore the dependence of quantum entanglement entropy of the Bose-Einstein condensate on scattering length. Our results show that the entanglement entropy increases slowly with the increase of the scattering length, and such an increasing trend can be well described by a power function. These results are analogous to those in a one-dimensional uniform BEC, where the entanglement entropy of the Bogoliubov ground state is approximately proportional to the square root of the scattering length. This work provides a viable way for investigating many-particle entanglement in a quasi-one-dimensional trapped Bose-Einstein condensate where the quantum entanglement is closely related to the interaction strength between particles.
Influence of barrier parameters in rotating double-well potential on hidden vortices in Bose-Einstein condensate
YANG Guoquan, JIN Jingjing
2025, 74 (21): 210304. doi: 10.7498/aps.74.20251001
Abstract +
Vortex dynamics in Bose-Einstein condensates (BECs) are crucial for understanding quantum coherence, superfluidity, and topological phenomena. In this work, we investigate the influence of barrier parameters in a rotating double-well potential on the formation and evolution of hidden vortices, aiming to reveal the regulatory mechanisms of barrier width and height on vortex dynamics. By numerically solving the dissipative Gross-Pitaevskii equation for a two-dimensional BEC system confined strongly along the z-axis, we analyze the density distribution, phase distribution, vortex number, and average angular momentum under varying barrier widths and heights. The results show that increasing barrier width significantly promote the formation of hidden vortices, with the total number of visible and hidden vortices still satisfying the Feynman rule. For larger barrier widths, hidden vortices exhibit an oscillatory distribution due to enhanced vortex interactions. In contrast, when the barrier height is above the critical threshold (i.e. the height sufficient to completely separate the condensate), the effect of the barrier height is limited, but below this critical threshold, the hidden vortex cores become visible, thereby reducing the threshold for vortex formation. A particularly striking finding is the efficacy of a temporary barrier strategy: by reducing $ {V_0} $ from $ 4\hbar {\omega _x} $ to $ 0 $ within a rotating double-well trap, stable vortex states with four visible vortices are generated at $ \varOmega = 0.5{\omega _x} $. Under the same parameter conditions, it is impossible to generate a stable state containing vortices at the same $ \varOmega $ by directly using the rotating harmonic trap. In other words, a temporary barrier within a rotating harmonic trap effectively introduces phase singularities, facilitating stable vortex states at lower rotation frequencies than those required in a purely harmonic trap. These findings demonstrate that precise tuning of barrier parameters can effectively control vortex states, providing theoretical guidance for experimentally observing hidden vortices and advancing the understanding of quantum vortex dynamics.
Aspherical measurement error decoupling technology based on global optimal fitting of full-aperture surface shape features and local measurement errors
WANG Weihao, WANG Yongjie, WANG Yahui, WU Zhou, ZHANG Wenxi
2025, 74 (21): 210701. doi: 10.7498/aps.74.20250866
Abstract +
Aspheric optical elements are essential in high-end manufacturing and scientific research. As precision demands increase, the coupling of surface features and measurement errors during high-asphericity and high steepness element measurement based on annular subaperture stitching limits the development of high-precision measurement.The coupling of surface features and measurement errors refers to that for high-steepness aspheric element to be measured, the measurement errors caused by retrace errors correspond to higher-order aberration features, which are likely to be consistent with the surface features, and this coupling makes it impossible to eliminate measurement errors by subtracting Zernike terms during full-aperture surface stitching measurement, because this would lead to the incorrect subtraction of surface features. The traditional overlapping-region based subaperture stitching method encounters two major problems: the error of the first subaperture, which serves as the reference, cannot be decoupled, and the error accumulation caused by a large number of subapertures will seriously affect measurement accuracy, especially when measuring high-steepness aspheric element.To solve the error coupling problem, this work proposes an aspherical measurement error decoupling technology based on global optimal fitting of full-aperture surface shape features and local measurement errors. This method takes advantage of the continuity of the full-aperture surface shape features of the aspheric surface of all subapertures and the discontinuity of the measurement errors of each subaperture. The method uses full-aperture circular and subaperture annular Zernike polynomials to build a global optimization model, where the former represents surface features and the latter describes subaperture errors; in addition, an L1 regularization term is added. By integrating these polynomials to create a global optimization function and solving for Zernike coefficients, the full-aperture surface shape features and the measurement errors of each subaperture can be solved separately (corresponding to the coefficients of the Zernike polynomials), and error decoupling and enhanced accuracy can be achieved. Furthermore, processing errors can globally avoid error accumulation in the traditional method and reduce the number of subapertures for higher measurement efficiency.Simulation and experimental validations are demonstrated in this paper. In the simulation experiment, the full-aperture surface features of the aspheric surface to be measured and the measurement errors of each subaperture are generated separately by using Zernike polynomials and the method proposed in this paper. The results are shown below. The full-aperture surface shape features and the subaperture measurement errors are solved separately; the correct surface measurement results after measurement error decoupling are obtained; the calculated results are compared with the true values of the Zernike coefficients of the surface shape features and measurement errors used in the simulation to verify the accuracy. The simulation shows effective fitting of Zernike polynomial coefficients and error decoupling. In the experimental verification, an aspheric measurement system is built, and a high-steepness aspheric element is used as the measurement target (a convex aspheric surface, a rotationally symmetric quadratic surface with a diameter of 45 mm, a vertex curvature radius of 150 mm, a conic constant of –48, an asphericity of 63.2 μm, and a maximum asphericity gradient of 19.12 μm/mm). The method proposed in this work and the traditional methods are compared with each other, and a profilometer is used to obtain the measurement results as reference result. Experiments show that the error decoupling in measurement of high-asphericity and high steepness elements is achieved with the proposed method, and the PVr accuracy of measurement is 0.0976λ@633 nm, improved by nearly 30% compared with traditional methods.The proposed method provides a practical solution for high-precision measurement of high-asphericity and high steep components in solving the problem of measurement error coupling. Future research will further explore the application value of the proposed method in aspheric processing, especially in achieving performance optimization in various specific measurement scenarios.
ATOMIC AND MOLECULAR PHYSICS
High-precision calculation of dynamic electric dipole polarizability of $^{11}\mathrm{Be}^{2+}$ ion
WU Fangfei, SHI Haotian, QI Xiaoqiu, ZUO Yani
2025, 74 (21): 213101. doi: 10.7498/aps.74.20250972
Abstract +
11Be, as a typical one-neutron halo nucleus, is of unique significance in studying atomic and nuclear physics. The nucleus comprises a tightly bound 10Be core and a loosely bound valence neutron, forming an exotic nuclear configuration that is significantly different from traditional nuclear configuration in both magnetic and charge radii, thereby establishing a unique platform for investigating nuclear-electron interactions. In this study, we focus on the helium-like 11Be2+ ion and systematically calculate the energies and wavefunctions of the $n^{3}S_1$ and $n^{3}{\mathrm{P}}_{0,1,2}$ states up to principal quantum number $n=8$ by employing the relativistic configuration interaction (RCI) method combined with high-order B-spline basis functions. By directly incorporating the nuclear mass shift operator $H_{\mathrm{M}}$ into the Dirac-Coulomb-Breit (DCB) Hamiltonian, we comprehensively investigate the relativistic effects, Breit interactions, and nuclear mass corrections for 11Be2+. The results demonstrate that the energies of states with $n\leqslant 5$ converge to eight significant digits, showing excellent agreement with existing NRQED values, such as $-9.29871191(5)$ a.u. for the $^{3}{\mathrm{S}}_1$ state. The nuclear mass corrections are on the order of 10–4 a.u. and decrease with principal quantum number increasing.By using the high-precision wavefunctions, the electric dipole oscillator strengths for $k^3{\mathrm{S}}_1 \rightarrow m^3{\mathrm{P}}_{0,1,2}$ transitions ($k \leqslant 5$, $m \leqslant 8$) are determined, resulting in low-lying excited states ($m\leqslant4$) accurate to six significant digits, thereby providing reliable data for evaluating transition probabilities and radiative lifetimes. Furthermore, the dynamic electric dipole polarizabilities of the $n'^3{\mathrm{S}}_1$ ($n' \leqslant 5$) states are calculated using the sum-over-states method. The static polarizabilities exhibit a significant increase with principal quantum number increasing. For the $J=1$ state, the difference in polarizability between the magnetic sublevels $M_J=0$ and $M_J=\pm1$ is three times the tensor polarizability. In the calculation of dynamic polarizabilities, the precision reaches 10–6 in non-resonant regions, whereas achieving the same accuracy near resonance requires higher energy precision. These high-precision computational results provide crucial theoretical foundations and key input parameters for evaluating Stark shifts in high-precision measurements, simulating light-matter interactions, and investigating single-neutron halo nuclear structures.
Dissociation of fluoromethane trication induced by highly charged ion collisions
TAN Xu, FANG Fan, ZHANG Yu, SUN Dehao, WU Yijiao, YIN Hao, MENG Tianming, TU Bingsheng, WEI Baoren
2025, 74 (21): 213401. doi: 10.7498/aps.74.20251099
Abstract +
Investigating molecular fragmentation mechanisms and the kinetic energy distributions of fragments can offer crucial insights into their roles in plasma physics, radiation-induced damage in biological tissues, and interstellar chemistry. In this study, we conduct the experiments on collision between 3 keV/u ${\rm Ar}^{8+} $ ions and CH3F molecules by using a cold target recoil ion momentum spectrometer (COLTRIMS).We focus on the three-body fragmentation channel H++$ {\mathrm{C}\mathrm{H}}_{2}^{+} $+F+ resulting from C—F and C—H bond cleavage in CH3F3+ ions, and measure the three-dimensional momentum vectors of all fragment ions. The fragmentation mechanism involved is analyzed using ion-ion kinetic energy correlation spectra, Newton diagrams, Dalitz plots, and other correlation spectra.Our results reveal two different dissociation mechanisms for the H++$ {\mathrm{C}\mathrm{H}}_{2}^{+} $+F+ channel, i.e. concerted fragmentation and sequential fragmentation, with the former one being dominant. In the sequential fragmentation process, H+ and the intermediate CH2F2+ are firstly formed, followed by further fragmentation of the intermediates into $ {\mathrm{C}\mathrm{H}}_{2}^{+} $ and F+. No sequential pathways involving HF2+ or $ {\mathrm{C}\mathrm{H}}_{3}^{2+} $ intermediates are identified. Furthermore, we observe two types of concerted fragmentation processes with different dynamical characteristics, suggesting that hydrogen atoms in CH3F3+ may occupy different chemical environments. This phenomenon can originate from either molecular isomerization producing different structural geometries or the Jahn-Teller effect leading to inequivalent C—H bonds. This study reveals the three-body dissociation dynamics of CH3F3+ induced by highly charged ion collisions, highlighting the significant role of the Jahn-Teller effect or molecular isomerization in the ionic dissociation of polyatomic molecules.
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS
Quantum heat transport in nonequilibrium anisotropic Dicke model
KONG Junran, MAO Mang, LIU Huan, WANG Chen
2025, 74 (21): 214201. doi: 10.7498/aps.74.20251007
Abstract +
Nonequilibrium heat transport and quantum thermodynamics in quantum light-matter interacting systems have received increasing attention. Consequently, quantum thermal devices, such as heat valve and head diode, have been realized. Recently, it has been discovered that the anisotropic light-matter interactions can greatly modify the eigenvalues and corresponding eigenvectors of hybrid quantum systems, leading to nontrivial quantum phase transitions, quantum metrology, and nonclassicality of photons. To explore the influences of anisotropic light-matter interactions on quantum transport, we investigate heat flow in the nonequilibrium anisotropic Dicke model. In this model, an ensemble of qubits collectively interacts with an anisotropic photon field. Moreover, each component interacts with bosonic thermal reservoirs. The quantum dressed master equation (DME) is included to properly study dissipative dynamics of the anisotropic Dicke model. Within the eigenbasis of the reduced anisotropic Dicke system, the strong qubit-photon couplings can be properly handled. Our results demonstrate that anisotropic qubit-photon interactions are crucial for modulating steady-state heat flow. In particular, it is found that under strong coupling the heat flow is dramatically suppressed by a large anisotropic qubit-photon factor. While under moderate coupling, the anisotropic qubit-photon interactions enhance the heat flow. Moreover, the increase in the number of qubits amplifies the flow characteristics, with the peaks increasing and the valleys decreasing. Besides, we derive two analytical expressions of heat flows in the thermodynamic limit approximation with limiting anisotropic factors. These heat currents exhibit the cotunneling heat transport pictures. They also serve as the upper boundaries for the heat flows in the anisotropic Dicke model with finite qubit numbers. We also analyze the thermal rectification effect in the anisotropic Dicke model. It is found that a large temperature bias, a large anisotropic qubit-photon factor, and nonweak qubit-photon coupling are helpful in achieving the giant thermal rectification factor. We hope that these results can deepen the understanding of quantum heat transport in the anisotropic quantum light-matter interacting systems.
Two-dimensional reconstruction method of combustion field temperature and gas concentration based on adaptive region weight mixing model
CHEN Chuge, SHI Dingfeng, CONG Zhouyang, HUANG An, XU Zhenyu, NIE Wei, XIA Huihui, GUO Haofan
2025, 74 (21): 214203. doi: 10.7498/aps.74.20250988
Abstract +
Diagnosis of combustion flow fields in aeroengines, scramjets, and related systems plays a crucial role in understanding combustion mechanisms, evaluating combustion stability and performance, and and is also a major challenge in the development of advanced propulsion technologies. Among the non-intrusive diagnostic approaches, laser absorption spectroscopy has become one of the most representative techniques. In particular, tunable diode laser absorption spectroscopy (TDLAS) offers advantages such as a compact system architecture, easy miniaturization, strong environmental adaptability, and the capability of simultaneous temperature and concentration measurements. By employing multiple laser beams intersecting at different angles and collecting absorption spectra along various paths, the two-dimensional distribution of flow-field parameters can be reconstructed using computed tomography (CT) algorithms.However, traditional nonlinear tomographic algorithms based on polynomial models encounter difficulties in reconstructing flow fields with steep gradients. To solve this problem, we propose a hybrid reconstruction method that integrates a regional weighting mechanism. In this framework, the polynomial model is combined with a Gaussian radial basis function (RBF) model, and a regional weight matrix is iteratively updated in an adaptive manner. The regional weight matrix is determined by introducing perturbations into the current temperature field and jointly considering its temperature gradient. This design allows the hybrid model to capture global features while enhancing its ability to resolve local details. In addition, a regional weight regularization term is incorporated into the residual function to further improve reconstruction accuracy.To validate the proposed approach, numerical simulations are conducted on three representative combustion field distributions, and comparisons are made between polynomial model, RBF model, and traditional algebraic reconstruction technique (ART) algorithms. The results demonstrate that the hybrid model achieves higher representational capability and reconstruction accuracy, with maximum temperature and concentration errors reduced to 3.31% and 7.13% (for the Top-Hat case), respectively. A scanning TDLAS measurement platform and a thermocouple measurement platform are built on a standard McKenna burner to experimentally verify the method. The reconstructed distribution has good consistency with the experimental results, and the deviation between the reconstructed 1800 K central temperature and the thermocouple measurement value is only 10 K. These findings verify the effectiveness of the proposed method and highlight its potential as a reliable tool for combustion field diagnostics in propulsion systems.
Analysis and experimental verification of dispersion characteristics of microstrip lines in terahertz low frequency band
XU Zhen, LUO Man, LIANG Bohan, LI Jining, ZHANG Jiaxin, WANG Tan, CHEN Kai, XU Degang
2025, 74 (21): 214204. doi: 10.7498/aps.74.20250690
Abstract +
Terahertz waves have broad application prospects in fields such as food quality, biomedicine, and security communication. However, the dispersion and loss during transmission limit the development of terahertz systems. This study focuses on the dispersion characteristics of microstrip lines in the terahertz low-frequency range. By combining theoretical modeling, numerical simulation, and experimental verification, the dispersion mechanism and key influencing factors of microstrip lines are systematically analyzed, providing theoretical support for low dispersion, high-performance terahertz integrated circuits and systems. This study is based on electromagnetic field theory, dividing microstrip line dispersion into dielectric dispersion, geometric dispersion, and conductor dispersion, and introducing a modified model to overcome the limitations of traditional quasi-static theory in the high frequency range. In this study, the CST time-domain finite difference simulation and terahertz time-domain pulse reflection (TDR) technology are employed to conduct multidimensional simulation and examine three different dielectric constant substrates (2.2, 3, 4.5), wire widths (100–1600 μm), lengths (10–150 mm) and other parameters. The pulse broadening coefficient is introduced to quantitatively evaluate the dispersion characteristics of microstrip lines. The results indicate that the increase in substrate dielectric constant significantly enhances the dispersion effect. When εr increases from 2.2 to 4.5, the increase in equivalent dielectric constant leads to a decrease in pulse transmission speed. When the wire width increases from 100 μm to 1600 μm, the pulse broadening coefficient dominated by geometric dispersion increases from 3.12 to 5.12, with an increase of 38%. However, when the wire length increases from 10 mm to 150 mm, the cumulative dispersion increases the broadening coefficient from 2.12 to 3.18, with an increase of 33%, verifying the sensitivity of width to dispersion control. The simulation result once again shows that due to the small skin depth of terahertz waves on metal surfaces, the difference in conductivity among the three conductor materials of gold, silver, and copper (4.1×107–6.3×107 S/m) can be ignored in terms of dispersion effect. According to the actual measurement and fitting results, the geometric dispersion of microstrip lines is more significant than the dispersion loss caused by length accumulation. In addition, simulation, experimental testing, and theoretical analysis are all in good consistency with each other. The conclusion indicates that optimizing the design of microstrip lines requires priority control of the dielectric constant and wire width of substrate material to suppress the synergistic effect of geometric dispersion and dielectric dispersion, providing quantifiable design criteria for high bandwidth and low distortion transmission in terahertz communication systems, and laying experimental and theoretical foundations for the engineering application of terahertz integrated circuits.
Investigation of self-bleaching wavelength of Yb-doped fiber lasers
TAO Mengmeng, WANG Yamin, WANG Ke, CHEN Hongwei, SHAO Chongyun, LI Qiaomu, YE Jingfeng
2025, 74 (21): 214205. doi: 10.7498/aps.74.20251017
Abstract +
In radiation environments, the radiation induced attenuation (RIA) of the active optical fiber can lead to a significant decline in the performance of fiber laser system. An effective way to solve this problem is to bleach the active fiber using pumps at certain wavelengths, namely photo-bleaching. Experiments have shown that output power of irradiated Yb-doped fiber laser experiences remarkable recovery under 976-nm pump. However, under 976-nm pump, signals at both 976 nm and 1070 nm co-exist in Yb-doped fiber. Moreover, it is difficult to distinguish which wavelength is responsible for the photo-bleaching process. Herein, a one-hundred-watt level Yb-doped fiber laser is irradiated with gamma-ray radiation. In the radiation process, a significant output decline from 129 W at 0 Gy to 81 W at 100 Gy is observed. Then, self-bleaching test is conducted with 976-nm pump. After 2-h bleaching, the output power is restored to 111 W, corresponding to a recovery ratio of about 37.0%. To verify the specific wavelength responsible for the performance recovery, photo-bleaching characteristics of Yb-doped fiber lasers are investigated under different pump wavelengths including 915, 976, 1070 and 1550 nm. Experiments show that laser signal at 1 μm waveband is the primary cause for the bleaching of Yb-doped fibers, while, the pump at 915, 976 and 1550 nm can hardly bleach the irradiated Yb-doped fiber. The RIA recovery curves of Yb-doped fibers are measured under different 1070-nm bleaching powers. And, related evolution parameters are obtained through curve fitting. With these parameters, the RIA evolution of the Yb-doped fiber and the corresponding output power evolution of the Yb-doped fiber laser in the radiation and bleaching process are simulated. Comparisons show that the numerical results are consistent with the measurements qualitatively, demonstrating the reliability of the model. This work has guiding significance for predicting the performance of fiber laser systems in radiation and bleaching environments.
Excitation mechanism of high-energy bottom bounce paths in deep sea
LIANG Minshuai, WU Hanyu, JIANG Houxuan, SHI Junjie, SUN Dajun
2025, 74 (21): 214301. doi: 10.7498/aps.74.20250766
Abstract +
Very-low-frequency (VLF) (≤100 Hz) acoustic waves exhibit special propagation characteristics in the deep sea, owing to strong penetration capability and interaction with deep geological structures. In a deep sea experiment conducted in the South China Sea, a vertical linear array including 64 elements is moored to the bottom (approximately 4360 m depth) to receive the acoustic signal. In the bearing-time record (BTR) processed by beamforming, a high-energy bottom bounce path is observed from the ship noise received by the bottom-moored vertical linear array, which shows an abrupt increase in energy near a grazing angle of 45°. However, the physical mechanism causing this phenomenon is still unclear, and we investigate it further in this work. According to the data processing, we develop an environmental model of the seabed by combining continuous speed gradient, which arises from long-term geological compaction processes, in the sediment. This model is compared with a traditional stratified model under the assumption of a uniform sediment layer. The wavenumber integration method is adopted in numerical simulation to accurately calculate the pressure field and analyze the cross-media propagation. The numerical simulations show that the positive velocity gradient (increasing from 1600 m/s to 2144 m/s) causes an ‘acoustic turning’ effect, which reradiates substantial acoustic energy back into the water column and generates the observed high-energy bounce paths. This is supported by theoretical analysis in the WKB approximation, where the calculated reflection coefficient shows a sharp transition in the acoustic turning point, explaining the energy fluctuations observed in the experimental BTR. Further analysis shows that the thickness of sediment influences the angular separation between bottom bounce paths, while its sound speed structure determines the turning angle. These findings offer new insights into VLF acoustic propagation in the deep sea and also provide critical evidence for supporting a transition from simplified stratified models to a more realistic model with a continuous gradient structure. Furthermore, the discovery of high-energy bottom bounce paths provides a new way for enhancing the capabilities of underwater detection, and these observed features also provide reliable pressure field characteristics for inverting deep seabed parameters.
Bouncing behavior of microbubbles in rigid capillary tube
LI Xiuru, LIU Yalu, MA Jiayu, WU Yuting, WANG Chenghui, MO Runyang
2025, 74 (21): 214302. doi: 10.7498/aps.74.20250968
Abstract +
This study systematically investigates the bouncing behavior and dynamics of microbubbles under ultrasound excitation within a rigid capillary in order to offer quantitative insights into their oscillation characteristics, migration trajectories, and phase modulation mechanisms for applications in microfluidics, contrast-enhanced ultrasound imaging, and controlled drug delivery. A high-speed imaging system is employed to track the motion of single-, double-, and triple-bubble systems in a viscoelastic medium inside a capillary with a 0.5-mm inner diameter. Under a 28-kHz ultrasound field, bubble dynamics are captured at 100000 frames per second. Image processing techniques, including dynamic threshold segmentation and morphological operations, are employed to extract bubble contours and centroid trajectories. Spectral analysis via fast Fourier transform (FFT) is performed to identify oscillation frequencies and modulation characteristics. Experimental results show that a single bubble undergoes periodic lateral migration, with oscillation frequency slightly below the driving frequency, and that sideband distribution in its spectrum is asymmetric. In the two-bubble system, five different dynamic stages are identified: initial suppression, accelerated migration, interaction dominance, position exchange, and a secondary approach to the wall. The bubbles oscillate at a common dominant frequency of 27.32 kHz but maintain phase difference. Modulation sidebands of approximately 0.3 kHz are observed, indicating nonlinear coupling. The three-bubble system exhibits more complex spatiotemporal evolution, including sequential migration and transitions between triangular and mirror-symmetric configurations. A notable sideband at 0.1 kHz suggests that multi-bubble synergy enhances nonlinear behavior. The tube diameter and fluid viscosity are found to influence the bouncing period through added mass effects and viscous energy dissipation, respectively. The period increases significantly with tube diameter decreasing, and decreases with fluid viscosity lessening. Theoretical modeling incorporates the mirror bubble effect into the coupled Keller-Miksis equations to account for wall confinement, thus successfully simulating the oscillation and translation of confined microbubbles. Numerical analysis further indicates that inter-bubble distance, wall proximity, and medium viscosity modulate the dynamic behavior of the system. Specifically, the bubble resonance frequency is regulated by inter-bubble distance and wall confinement. The two-bubble system exhibits both in-phase and out-of-phase modes, with the latter being more sensitive to distance variation. Near the wall, the oscillation frequency decreases, and the phase difference attenuation accelerates. Increasing medium viscosity will weaken the phase coupling between bubbles, an effect which is particularly evident for smaller bubbles. This study not only enhances the understanding of multi-bubble synergistic effects in confined spaces but also provides a theoretical foundation and technical reference for optimizing ultrasound contrast agents, designing microfluidic devices, and developing targeted therapies in biomedicine.
Synergistic effect of ultrasound transdermal drug delivery based on multi-stage dynamic focal-shifting
GONG Xinyue, XUE Honghui, SONG Renjie, GUO Yang, MA Yong, TU Juan
2025, 74 (21): 214303. doi: 10.7498/aps.74.20251023
Abstract +
Ultrasound-assisted transdermal drug delivery (UTDD) is a promising non-invasive strategy to overcome the skin barrier. The traditional fixed-focus ultrasound approaches encounter the problems such as limited penetration depth, localized accumulation, and risk of thermal damage. To address these challenges, we propose a phased-array based dynamic focusing strategy, in which the acoustic focus is shifted sequentially along the depth direction. This approach aims to construct a continuous longitudinal acoustic radiation pathway that can sustain particle migration into deeper skin layers. In vivo experiments are conducted with FITC-labeled nanoparticles on rat dorsal skin under three conditions: natural permeation, fixed focus (~0.5 mm beneath the skin), and dynamic focusing (scanned from the surface to 1 mm). After 10-min ultrasound, fluorescence microscopy reveals that fixed focus enhances penetration compared with natural permeation, while dynamic focusing further improves delivery, increasing average depth by 65.7%, maximum depth by 41.2%, and fluorescence intensity by 69.3%. Dynamic focusing also produces a more uniform and continuous deposition band, which is unlike the localized accumulation seen with fixed focus. To elucidate the underlying mechanisms, a two-dimensional finite element model is established in COMSOL Multiphysics. The simulation results reveal that this “multi-focus relay” effect provides a continuous driving force pathway, enabling particles to follow the shifting focal positions. Trajectory analysis confirms that the number of particles reaching deeper layers (up to 5 mm) increases by nearly 14 times under dynamic focusing compared with that in the case of fixed focus, while the width of the lateral distribution extends by 46.1%. In conclusion, both experimental and simulation results demonstrate that phased-array dynamic focusing significantly enhances penetration depth, migration efficiency, and distribution uniformity of nanoparticles in UTDD. By constructing a continuous acoustic radiation pathway in the depth dimension, this approach improves delivery efficiency while mitigating local energy accumulation, providing a safer and more effective strategy for ultrasound-mediated transdermal therapy.
Piezoelectric ultrasonic transducers with columnar and acoustic surface structures
LIN Jiyan, LI Yao, CHEN Cheng, LIN Shuyu, GUO Linwei, XU Jie
2025, 74 (21): 214304. doi: 10.7498/aps.74.20250901
Abstract +
The band gap, localization, and waveguide characteristics of phononic crystal structures offer extensive potential applications in transducer field, particularly for circular-hole phononic crystals, which are extensively utilized in research on performance optimization of transducers due to their straightforward structure and easy fabrication. Nonetheless, studies have revealed that the bandgap width of circular-hole phononic crystal structures is directly proportional to their porosity. Typically, a higher porosity leads to enhanced energy localization of elastic waves. However, high porosity implies a narrower distance between circular holes, greatly reducing the mechanical strength of the structure. The introduction of columnar phononic crystal structures solves the problems of high porosity and strict dimensional accuracy requirements in circular-hole phononic crystal structures, providing a new approach for enhancing the performance of piezoelectric ultrasonic transducers.This study employs cylindrical and acoustic surface structures fabricated on the front and rear cover plates of piezoelectric ultrasonic transducers to manipulate the transmission behavior and pathway of sound waves, thereby achieving effective control over coupled vibrations within the transducer. This approach not only solves the problem of uneven amplitude distribution on the radiation surface due to uneven vibration energy transmission but also markedly enhances the displacement amplitude of the transducer’s radiation surface, ultimately enhancing its operational efficiency. The simulation results elucidate the influences of the configuration of these cylindrical and acoustic surface structures on transducer performance. Experimental findings further validate that these structures can effectively improve the performance of piezoelectric ultrasonic transducers. This study provides systematic design theory support for the engineering calculation and optimization of transducers.
Mechanism of vapor-liquid phase transition under synergistic action of nanoscale potential energy and cavitation
LIU Renjie, LI Yuxiu, CHEN Ying, DING Yu
2025, 74 (21): 214701. doi: 10.7498/aps.74.20250930
Abstract +
Liquid evaporation on a nanoscale is significantly strengthened by microscopic effects, with its rate even exceeding the predicted upper limit of the classical Hertz-Knudsen equation. This property makes nanoscale liquid evaporation highly valuable for applications in solar-driven interfacial evaporation, electronics cooling, and microfluidics. However, existing research predominantly focuses on the influence of individual microscopic effects, leaving the synergistic mechanisms of multiple effects to be poorly understood. To deeply reveal the microscopic mechanism of liquid phase change on a nanoscale, this study employs liquid argon as a model system to systematically investigate the synergistic effect of potential energy and cavitation on its evaporation. Using molecular dynamics simulations, we study the evaporation process of liquid argon within nanochannels characterized by different solid-liquid interaction strengths under identical temperature and time frame. The results indicate that an increase in the solid-liquid interaction strength reduces the average potential energy of liquid argon and increases the evaporation energy barrier, which theoretically should suppress the evaporation. Nevertheless, the capillary pressure induced by the increased meniscus curvature leads to negative pressure within the liquid argon, triggering a cavitation effect. This cavitation generates bubbles inside the liquid argon, which significantly increases the evaporation surface area and consequently promotes evaporation. Furthermore, the meniscus-dominated evaporation mode is gradually weakened, while the contribution from cavitation bubbles becomes increasingly pronounced. This study demonstrates that the evaporation rates of liquid argon in the four nanochannels with different interaction strengths are 3.49 × 10–14, 3.95 × 10–14, 3.02 × 10–14, and 2.44 × 10–14 kg/s, respectively. Therefore, it can be concluded that the evaporation rate does not vary linearly with the increase of solid-liquid interaction strength. On the contrary, under moderate interaction intensity, the optimal synergistic state between potential energy and the cavitation effect is achieved, thereby obtaining a maximum evaporation rate.
COVER ARTICLE
Photon blockade effect in giant atom-coupled triple-cavity system
LUO Junhao, MA Kangjie, LIANG Yan, SHENG Zhijun, SUN Yiding, TAN Lei
2025, 74 (21): 214202. doi: 10.7498/aps.74.20251000
Abstract +
The photon blockade effects in a system consisting of an artificial giant atom coupled with three cavities are investigated. By solving the Schrödinger equation, we obtain the steady-state probability amplitudes of the system and derive the analytical expressions for the equal-time second-order correlation function. Based on these analytical expressions, the optimal conditions for achieving the photon blockade under different driving conditions are derived in detail.We first examine the energy spectra and transition pathways for the single-photon and two-photon excitations in weakly driven cavity mode, and then investigate the statistical properties of photons. It is demonstrated that the optimal conventional photon blockade can be achieved by selecting appropriate driving detuning as characterized by the equal-time second-order correlation function of $g^{\left(2\right)}\left(0\right)\approx{10}^{-3.4} $. Remarkably, we observe that both cavities of the system exhibit robust photon blockade effects against the weak driving. It is also found that with the increase of the coupling strength between the artificial giant atom and cavities, the photon blockade phenomenon becomes more pronounced while maintaining its robustness to the weak driving. Furthermore, we consider the case of simultaneously driving both the artificial giant atom and cavity modes. The unique multi-point coupling characteristics of the artificial giant atom provide additional transition pathways for photons, thereby allowing us to use the resulting quantum interference to further enhance photon blockade. When the system satisfies the optimal parametric conditions for both the conventional and unconventional photon blockade effects, one cavity exhibits exceptional photon blockade with $g^{\left(2\right)}\left(0\right)\approx{10}^{-6.5} $.This research greatly relaxes the stringent parameter requirements for the experimental realization of single-photon sources and provides a theoretical support for improving their quality, which is crucial for achieving high-performance single-photon sources.
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES
Analysis of correlation between valence electron structures and properties of nitrates based on empirical electron theory of solids and molecules
KONG Haitao, ZHANG Xiaopeng, TANG Wei, ZHAO Xing, YANG Zhenyu, GUO Yongquan, LI Baorang
2025, 74 (21): 216101. doi: 10.7498/aps.74.20250755
Abstract +
Nitrate molten salt is widely used as an efficient thermal storage material for improving concentrated solar power (CSP) technology, which is due to their many excellent properties such as thermal stability, high energy density, low viscosity and liquefaction temperature. However, it is not convenient to measure the performance of nitrate for a long time in a high temperature molten state, which can cause the storage containers made of stainless steel to be corroded by nitrate salt. Simulations also face huge challenges in optimizing the performance of nitrate molten salts, with models being complex and calculation time being long. In this study, an empirical electron theory (EET) of solids and molecules is used to investigate the valence electron structure, cohesive energy, and melting points of MNO3 (M = Li, Na, K) and their decomposition byproducts (nitrites) systematically for revealing the mechanisms of these properties. The calculated bond lengths, cohesive energy, and melting points of nitrate molten salt are in agreement with their corresponding measurements. This study reveals the strong dependence of physical properties on the valence electron structure. The bonding strength and ability strongly depend on the covalent electron pairs $ {n}_{\alpha } $. The cohesive energy exhibits a positive correlation with the number of valence electrons $ {n}_{\mathrm{c}} $. The melting mechanism originates from the melting-broken M−O (M = Li, Na, K) bond by the vibrating of thermal phonon at melting temperature. It is suggested that the atomic cluster of NO3 is still stabilized in the melting process. In binary nitrate molten-salts, the calculated liquidus lines match the measured ones in their binary phase diagrams well. The liquid temperatures show significant positive correlation with the weighted average number of covalent electron pairs ($ {n}_{{{M}}-{\mathrm{O}}} $) on M−O bond. The thermodynamic simulation models are used systematically to predict the viscosity, electrical conductivity, and thermal conductivity of the binary nitrate molten-salts. Based on the calculations of EET and thermodynamic simulations, the composition of binary nitrate molten salts is optimized as 0.5LiNO3-0.5NaNO3, 0.5LiNO3-0.5KNO3, and 0.6NaNO3-0.4KNO3, which are considered as good candidates for advanced molten salts with high thermal conductivity, high electrical conductivity, low viscosity, and low liquefaction temperature.
First-principles study on structures and physical properties of multicomponent V1–x FexC carbides in steel
ZHANG Dong, SUN Yihua, YIN Chaochao
2025, 74 (21): 216102. doi: 10.7498/aps.74.20250713
Abstract +
Vanadium carbides commonly serve as strengthening phases in metallic materials, where their elastic and ductile-brittle characteristics are critical for mechanical performance. This work systematically investigates the structural stability, electronic properties, mechanical behaviors, and thermal characteristics of multi-component V1–x FexC carbides by using first-principles calculations, aiming to elucidate the influence of Fe content on their physical properties and provide a theoretical basis for the design and application of carbides in high-performance steels. The calculations are performed using the Vienna ab initio simulation package (VASP) based on density functional theory (DFT). Special quasirandom structures (SQS) are employed to construct five carbide models with varying Fe/V ratios (from V0.125Fe0.875C to V0.875Fe0.125C). Key parameters including formation enthalpy, electronic density of states, elastic constants, Debye temperature, and thermal conductivity are computed. The results indicate that as the Fe content decreases, the formation enthalpy shifts from positive to negative, reflecting a significant improvement in thermodynamic stability. Electronic structure analyses reveal metallic behavior of all compositions, with stronger covalent bonding in V–C than that in Fe–C. The V0.875Fe0.125C carbide exhibits the highest elastic modulus (C11 = 615.80 GPa) and Vickers hardness (21.06 GPa), which is attributed to its strong covalent interactions, though it also shows increased brittleness. The Debye temperature rises with the decrease of Fe content, further confirming superior mechanical strength at elevated temperatures. Calculations of the thermal conductivity for V0.875Fe0.125C yield values of 9.427 W·m1·K1 at 300 K and 2.357 W·m1·K1 at 1300 K. Its minimum lattice thermal conductivity (2.001 W·m1·K1) is comparable to that of typical thermal barrier coating materials, demonstrating high potential for high-temperature thermal insulation. This study reveals the structure-property relationships in V1–x FexC carbides on an atomic scale, indicating that low-Fe compositions are advantageous for high-temperature and high-strength applications. These findings provide important theoretical support for the development of novel heat-resistant coatings and high-strength steels.
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
First-principles study of modulation of graphene Dirac plasmons
LI Pengfei, HAN Lijun, ZHANG Lin, HUI Ningju
2025, 74 (21): 217101. doi: 10.7498/aps.74.20250913
Abstract +
Graphene Dirac plasmons, which are collective oscillations of charge carriers behaving as massless Dirac fermions, have emerged as a transformative platform for nanophotonics due to their exceptional capability for deep subwavelength light confinement in the infrared-to-terahertz spectral region and their unique dynamic tunability. Although external controls such as electrostatic doping, mechanical strain, and substrate engineering are empirically known to be able to modulate plasmonic responses, a comprehensive and quantitative theoretical framework from first principles is essential to reveal the distinct efficiency and fundamental mechanisms of each tuning strategy. To address this issue, we conduct a systematic first-principles study of three primary modulation pathways—carrier density, biaxial strain, and substrate integration—by using linear-response time-dependent density functional theory in the random-phase approximation (LR-TDDFT-RPA) as implemented in the computational code ABACUS. A truncated Coulomb potential is adopted in order to accurately model the isolated two-dimensional system, while structural and electronic properties are computed using the PBE functional with SG15 norm-conserving pseudopotentials and van der Waals corrections for heterostructures. Our research results indicate that modulating carrier concentration can cause the plasmon dispersion to follow the characteristic $\omega \propto n^{1/4}$ scaling law, thereby tuning within a wide range from 0.45 eV to 1.38 eV at the Landau damping threshold—a 207% change for the carrier density varying from 0.005 to 0.1 electrons/unit cell, although efficiency decreases at higher concentrations due to the sublinear nature of the scaling law. Biaxial strain linearly changes the plasmon energy by modifying the Fermi velocity ($v_{\mathrm{F}}$) near the Dirac point, yielding a 30.4% tuning range (0.78–1.12 eV) under $\pm 10{\text{%}}$ strain. Introducing an hBN substrate induces a small band gap (~43 meV) and causes a general redshift in plasmon energy due to band renormalization, while remarkably preserving the linear strain-tuning capability in a $30.1{\text{%}}$ energy range (0.72–1.03 eV) in the heterostructure, demonstrating robust compatibility between strain engineering and substrate integration. These results quantitatively elucidate the different physical mechanisms—Fermi level shifting, Fermi velocity modification, and substrate-induced symmetry breaking and hybridization—underpinning each strategy, thereby providing a solid theoretical foundation for designing dynamically tunable optoelectronic devices based on graphene and its van der Waals heterostructures.
Density functional theory study on high-pressure structures and electronic properties of Mg-Al alloys
LI Jinlong, WANG Dan, WANG Hao, ZHANG Leilei, GENG Huayun
2025, 74 (21): 217102. doi: 10.7498/aps.74.20250761
Abstract +
Magnesium and aluminum are abundant metals in the Earth’s crust and widely utilized in industrial engineering. Under high pressure, these elements can form elemental compounds into single substances, resulting in a variety of crystal structures and electronic properties. In this study, the possible structures of magnesium-aluminum alloys are systematically investigated in a pressure range of 0–500 GPa by using the first-principles structure search method, with energy and electronic structure calculations conducted using the VASP package. Bader charge analysis elucidates atomic and interstitial quasi-atom (ISQ) valence states, while lattice dynamics are analyzed using the PHONOPY package via the small-displacement supercell approach. Eight stable phases(MgAl3-Pm${\bar {3}} $m, MgAl3-P63/mmc, MgAl-P4/mmm, MgAl-Pmmb, MgAl-Fd${\bar {3}} $m, Mg2Al-P${\bar {3}} $m1, Mg3Al-P63/mmc, Mg3Al-Fm${\bar {3}} $m) and two metastable phases (Mg4Al-I4/m, Mg5Al-P${\bar {3}} $m1) are identified. The critical pressures and stable intervals for phase transitions are precisely determined. Notably, MgAl-Fd${\bar {3}} $m, Mg2Al-P${\bar {3}} $m1, Mg4Al-I4/m and Mg5Al-P${\bar {3}} $m1 represent newly predicted structures. Analysis of electronic localization characteristics reveals that six stable structures (MgAl3-Pm${\bar {3}} $m, MgAl3-P63/mmc, MgAl-Pmmb, MgAl-Fd${\bar {3}} $m, Mg2Al-P${\bar {3}} $m1 and Mg3Al-P63/mmc) exhibit electronic properties of electrides. The ISQs primarily originate from charge transfer of Mg atoms. In the metastable phase Mg4Al-I4/m, Al atoms are predicted to achieve an Al5–valence state, filling the p shell. This finding demonstrates that by adjusting the Mg/Al ratio and pressure conditions, a transition from traditional electrides to high negative valence states can be realized, offering new insights into the development of novel high-pressure functional materials. Furthermore, all Mg-Al compounds display metallic behaviors, with their stability attributed to Al-p-d orbital hybridization, which significantly contributes to the Al-3p/3d orbitals near the Fermi level. Additionally, LA-TA splitting is observed in MgAl3-Pm${\bar {3}} $m, with a splitting value of 45.49 cm–1, confirming the unique regulatory effect of ISQs on lattice vibrational properties. These results elucidate the rich structural and electronic properties of magnesium-aluminum alloys as electrodes, offering deeper insights into their behavior under high pressure and inspiring further exploration of structural and property changes in high-pressure alloys composed of light metal elements and p-electron metals.
Design and spin-dependent transport properties of carbon-based molecular magnetic tunnel junctions
DI Maoyun, LI Pengle, FU Lin, XU Yongjie, LI Jin, KUANG Yafei, HU Jifan
2025, 74 (21): 217201. doi: 10.7498/aps.74.20250880
Abstract +
Spintronics holds profound significance for the development of future electronic devices, among which magnetic tunnel junctions (MTJs) represent a crucial spintronic device. In order to achieve excellent performance, such as higher tunnel magnetoresistance (TMR) and spin filtering effects, the molecular MTJs (MMTJs) have been investigated. Here, we adopt 6,6,12-graphyne (6,6,12-GY) nanodots as the barrier material in the central scattering region, while zigzag-edged graphene nanoribbons (ZGNRs) are adopted as electrode materials. Two kinds of devices, denoted as M1n and M2n, are constructed, which differ in the termination of the nanodots in the central scattering region. Due to the fact that the magnetization directions of the two ZGNRs electrodes can be set to be parallel (P) or antiparallel (AP), both M1n and M2n devices exhibit two different magnetic configurations. In this work, the structures are optimized using first-principles calculations based on density functional theory (DFT), as implemented in the Vienna ab-initio simulation package (VASP). By combining DFT with the nonequilibrium Green’s function (NEGF) method, the spin transport properties of MMTJs are studied.The calculated results show that all devices achieve high TMR effects, with their values reaching up to 108% in M1n and 109% in M2n. The total current calculations indicate that a distinct difference emerges between the P and AP configurations after applying a bias voltage, which leads to a superior TMR. These findings offer valuable insights into the future development of highly sensitive spintronic devices. From the perspective of spin current, it can be observed that for both M1n and M2n devices with AP configuration, opposite-direction spin currents can be obtained by applying positive or negative bias voltage. Namely, in the AP configuration, both devices achieve the ±100% spin polarization (SP), indicating a dual spin filtering effect. In the P configuration, the spin-up and spin-down currents in M1n exhibit similar trends with the bias increasing, while M2n can produce a pure spin-down current with the number of nanodots increasing. The 100% spin filtering efficiency achieved in these carbon-based devices is of great significance for increasing the storage density and operation speed of future spintronic devices. Notably, apart from the bias voltage, the spin current of M2n can also be controlled by switching the magnetization direction of the electrodes. In addition, the current in M2n is much smaller than that in M1n, which implies low power consumption in device applications. Our investigation on the spin-dependent transport properties of 6,6,12-GY-based MMTJs paves the way for promising spintronic applications of carbon-based materials.
Stability of HfOx memristors based on oxygen vacancy regulation
ZHU Yuanyuan, YANG Ziyi, YANG Shuning, ZHANG Yunfei, ZHANG Miao, WANG Xin, WANG Hongjun, XU Jing
2025, 74 (21): 217301. doi: 10.7498/aps.74.20250971
Abstract +
HfOx memristors have emerged as one of the most promising candidates for next-generation non-volatile memory due to their low operating voltage, excellent endurance, and cycling characteristics. However, the randomness in the formation and rupture of oxygen vacancy conductive filaments within HfOx thin films leads to a relatively dispersed threshold voltage distribution and poor stability. Therefore, improving the stability of HfOx devices by modulating oxygen vacancies is of significant research importance. In this study, three groups of W/HfOx/Pt devices are prepared using magnetron sputtering with argon-to-oxygen ratios of 30∶20, 40∶10 and 45∶5, respectively. X-ray photoelectron spectroscopy results indicate that the 45∶5 device has the highest oxygen vacancy concentration (25.59%). All of three groups exhibit bipolar resistive switching behavior. Of the three W/HfOx/Pt devices, the device with the argon-to-oxygen ratio of 45∶5 demonstrates the best overall performance: over 200 I -V cycles, a switching ratio of ~103, excellent data retention within 104 s, and a concentrated threshold voltage distribution. Analysis of the conduction mechanisms reveals that the device follows a space-charge-limited current (SCLC) mechanism in the high-resistance state and exhibits Ohmic conduction behavior in the low-resistance state. In the initial state, there is a high density of oxygen vacancies near the nucleation region of the conductive filament, which can shorten the effective migration path of oxygen vacancies. Under an applied electric field, negatively charged oxygen ions migrate toward the top electrode, while oxygen vacancies gradually accumulate from the bottom electrode to the top electrode, leading to the formation of continuous conductive filaments. A higher oxygen vacancy concentration facilitates the development of robust and structurally more stable conductive filaments, thereby enhancing the uniformity of resistive switching and device reliability. This study reveals the critical role of oxygen vacancy modulation in the performance of HfOx memristors and provides an effective pathway for developing high-performance and highly reliable resistive random-access memory.
Magnetic transition, X-ray diffraction spectrum changes, and magnetocaloric effect in La0.9Pr0.1Fe12B6 alloy
CHEN Xiang, HE Bing
2025, 74 (21): 217501. doi: 10.7498/aps.74.20251002
Abstract +
In order to clarify the metamagnetic transition properties and corresponding crystal parameter characteristics of La0.9Pr0.1Fe12B6 alloy, as well as the accompanying magnetocaloric effects, we study the magnetic phase transition process of the alloy induced by magnetic field and temperature, and the corresponding changes of X-ray diffraction patterns, and conduct in-depth comparisons of the magnetocaloric properties between different measurement modes. The results indicate that the La0.9Pr0.1Fe12B6 sample mainly consists of about 90 wt% SrNi12B6 type structural main phase and about 10 wt% Fe2B and α-Fe, which are consistent with those given in the reference literature. In the zero-field increasing temperature process, the magnetic state sequence of the main phase of La0.9Pr0.1Fe12B6 alloy is antiferromagnetic (AFM)→ferromagnetic (FM)→paramagnetic (PM); in the isothermal magnetization process, three types of magnetic field-induced metamagnetic transitions occur in different temperature ranges, namely, two different transitions between AFM and FM states at low temperatures, and a transition between PM and FM states above the Curie temperature (TC). The corresponding critical magnetic field (HC) is much lower than that of the LaFe12B6 parent alloy. On the contrary, the main phase of La0.9Pr0.1Fe12B6 alloy exhibits only PM-FM transition. This indicates that after the alloy transitions from PM state to FM state in the cooling process, even after the temperature drops to a certain value, it will not transition to AFM state. Similar phenomena also exist in other alloy of LaFe12B6 system. Based on the Néel temperature (TN) and TC obtained from the ZFCW mode M-T curves, the magnetic state phase diagram of La0.9Pr0.1Fe12B6 alloy is plotted. The results indicate that as the external magnetic field increases, TC moves linearly towards higher temperatures at a rate of almost 0.48 K/kOe. Conversely, TN1 and TN2 gradually move towards lower temperatures at rates of 0.48 K/kOe and 0.26 K/kOe, respectively. The zero-field and field-variable temperature XRD patterns show that during the magnetic transition between disorder and order states of the main phase in La0.9Pr0.1Fe12B6 alloy, there is a phenomenon of magnetocrystalline coupling. As a result, in addition to the original diffraction peaks of the main phase, some new diffraction peaks that are not observable in the PM state also appear, and their intensities increase with the decrease of temperature or the increase of magnetic field. Through Retveld refinement on XRD patterns under different conditions, it is found that the atomic occupancy rates of La/Pr and Fe are very stable in different environments, but the atomic occupancy rate of B varies greatly, which may be the main factor leading to the appearance of new diffraction peaks. In addition, in the temperature dependent magnetic entropy change curve calculated based on isothermal magnetization data in continuous measurement mode, a large magnetic entropy change can be observed near TC due to the magnetic field induced first-order metamagnetic transition of PM-FM. For example, under a magnetic field of 70 kOe, the maximum magnetic entropy change near 50 K can reach 19 J/(kg·K), and the relative cooling capacity is about 589.1 J/kg. However, under the same measurement mode, the expected large magnetic entropy change due to the AFM-FM metamagnetic transition is not observed. But, when using a discontinuous measurement mode, the large magnetic entropy change accompanying the AFM-FM transition process is also observed. For example, under a magnetic field of 70 kOe, the maximum magnetic entropy change near 8 K can reach –12 J/kg·K.
Mechanism of influence of different flight altitudes on insulation breakdown performance of ETFE aviation cables
LI Lili, LI Yuzhe, LI Xiaokun, FU Lei, WANG Yulong, HAN Shuang, GAO Junguo
2025, 74 (21): 217701. doi: 10.7498/aps.74.20250932
Abstract +
By studying the breakdown performance of ethylene-tetrafluoroethylene (ETFE) copolymer under low pressure via molecular dynamics simulations, and verifying the simulation results through low-pressure breakdown experiments, the insulation failure mechanism of ETFE materials under low pressure can be revealed on an atomic scale. First, molecular dynamics simulations are performed on ETFE. As the flight altitude gradually increases from 0 km to 24 km, the simulated pressure decreases from 101.300 kPa to 2.951 kPa. Correspondingly, the intermolecular distance increases by 9.692%, the interchain interaction energy decreases by 8.383%, the free volume fraction of ETFE increases by 62.586%, and the density of ETFE decreases by 7.737%. Subsequently, based on the electromechanical breakdown theory, it is deduced that the breakdown field strength of ETFE decreases by 17.626%. Finally, the low-pressure breakdown experiment shows that the breakdown field strength decreases by 40.078%, and the density measurement test indicates that the density decreases by 1.574%. Both simulation and experimental results confirm that the breakdown field strength of ETFE decreases with the reduction of pressure. This is because under low-pressure conditions, the increase in free volume fraction and the decrease in density provide a longer mean free path for free electrons. And the decrease in charge trap level weakens the charge trapping capability, leading to a higher concentration of free electrons. All these factors contribute to the reduction of the breakdown field strength of ETFE. This study provides performance prediction and failure mechanism analysis for the application of ETFE in aerospace and high-altitude extreme environments, and has guiding significance for the optimal design of aerospace insulation ETFE materials.
Dynamical behavior of graphene dislocations based on crystal phase field model
WANG Hui, WU Baiyu, ZHEN Leyi, ZHOU Wenquan
2025, 74 (21): 218101. doi: 10.7498/aps.74.20250936
Abstract +
The study of the evolution of grain boundary (GB) structures and the mechanisms of dislocation motion in graphene is of significance in uncovering the physical essence of plastic deformation behavior of graphene. Currently, the dynamic behavior of graphene GBs under non-mechanical loads has been extensively investigated. However, due to the inherent limitations of existing experimental conditions and simulation methods in terms of temporal and spatial scales, the dynamic evolution process of dislocations in graphene under mechanical tensile loads and their intrinsic correlation with plastic deformation are still poorly understood. In this work, a phase-field crystal (PFC) model based on classical density functional theory (DFT) is adopted. Combining periodic density field variables, the model achieves cross-scale coupling between microscopic crystal structures and macroscopic diffusion time scales, enabling efficient simulation of long-term evolution processes. It is particularly suitable for characterizing microscopic mechanisms involving complex defect evolution in graphene, such as dislocation glide and climb, and GB migration.In this work, the complete deformation process of a graphene bicrystal system containing a GB loop under uniaxial tensile loading is simulated on an atomic scale, including elastic response, elastic-plastic transition, plastic deformation, and fracture. The transformation characteristics of 5|7 dislocation core structures and the topological evolution of the GB loop within the system are systematically investigated. The simulation results reveal that when the applied strain is below a critical value, the system exhibits the elastic response, characterized by a linear relationship between the average response strain and the applied strain. As the strain reaches the critical value, the 5|7 dislocations at the GB loop undergo transformation into 5|7|7|5 dislocations through C—C bond rotation. This transition is accompanied by a significant increase in the strain amplitude at the dislocation cores, marking the onset of plastic deformation. Beyond the critical strain, the system thus enters the plastic deformation stage, during which the GB loop exhibits three different types of evolution behaviors: 1) alternating transformations between 5|7 and 5|7|7|5 dislocation structures driven by repeated C—C bond rotation; 2) a cyclic evolution of dislocations involving “pinning $\rightleftharpoons $ mixed climb/glide motion”, accompanied by energy fluctuations described as “energy storage-dissipation-restorage”; 3) dislocations remaining in a “pinned” state until stress concentration in their core regions initiates transgranular cracking, ultimately leading to ductile fracture of the system.This study provides important theoretical insights into the physical mechanisms underlying the plastic deformation behavior of graphene.
GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS
Study on risk of triboelectric charging and discharging of lunar rovers in lunar surface environment
XIA Qing, LI Mengyao, CAI Minghui, TANG Chengxiong, ZHANG Zun, YANG Tao, XU Liangliang, JIA Xinyu
2025, 74 (21): 219401. doi: 10.7498/aps.74.20251035
Abstract +
With China’s lunar exploration program steadily advancing from the landmark orbiting missions of Chang’e-1 to the historic sample-return feats of Chang’e-5 and the groundbreaking far-side landing of Chang’e-4, China has entered a critical phase of deepening lunar exploration, including preparations for crewed lunar missions. Among these ambitious endeavors, identifying and mitigating potential operational risks is crucial to ensuring the success of these ambitious efforts. This work focuses on a critical hazard unique to China’s lunar surface exploration efforts: the triboelectric charging and discharging phenomenon between lunar rover wheels and lunar dust, which has a significant impact on astronaut safety and the reliability of onboard electronic systems.Lunar surface missions will face the risk of triboelectric charging and discharging resulting from friction between lunar rover wheels and lunar dust. Preliminary theoretical studies indicate that metal wheels may become charged to a level of approximately –5000 V, with discharge pulse currents reaching an order of magnitude of 0.1 A, posing a severe threat to astronaut safety and the normal operation of device circuits.This paper employs ground-based experimental methods to investigate the triboelectric charging and discharging risks of lunar rover wheels in vacuum and simulated solar wind plasma environments. The research findings are given below.In a vacuum environment, when an aluminum alloy lunar rover wheel (136 mm in diameter) travels on a lunar dust layer at a speed of 0.003 m/s, it rapidly charges to a positive potential of several hundred volts. Discharge breakdown occurs when the wheel travels approximately 20 m and reaches a potential of 550 V. At this point, the captured discharge current pulse amplitude can reach 1.5 A, with a pulse duration of about 100 ns. Increasing the friction frequency significantly accelerates the charging rate and leads to more frequent discharges.In a simulated solar wind plasma environment, when the wheel travels at 0.003 m/s, the combined effect of the environment and friction results in a negative charging potential. After reaching equilibrium, the potential stabilizes at approximately –830 V, and discharges occur more frequently than in a vacuum environment. Discharge breakdown takes place when the wheel travels just 8.5 m, with the discharge current pulse amplitude reaching up to 0.3 A and a pulse duration of 100 ns.These discharge pulses cause electromagnetic interference to linear circuits, leading to abnormal output of voltage signals in subsequent modes. The abnormal signals have an amplitude on the order of 10 V and a duration of 29 ms.This study confirms that the risk of triboelectric charging and discharging in lunar rovers is relatively high. Although theoretical models predict that the lunar roving vehicle (LRV) would experience rapid dissipation of triboelectric charges (with no charging/discharging risk) when operating at 0.03 m/s, the experiments show that even at a slow speed of 0.003 m/s, the wheels still accumulate charges and experience frequent discharge breakdowns. The amplitude of discharge pulse can reach the level of 1 ampere, causing significant electromagnetic interference to nearby circuits. Clearly, theoretical models underestimate the risk of triboelectric charging and discharging in lunar surface environments. It is recommended that future engineering tasks pay close attention to this issue and further evaluate the extent of its hazards.
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