HD<sup>+</sup>分子的强场光解离动力学及其量子调控的理论研究

姚洪斌; 蒋相站; 曹长虹; 李文亮

doi:10.7498/aps.68.20190400

摘要

利用精确求解原子核与电子耦合运动的三维含时量子波包法, 理论研究了HD⁺分子在强激光场中的光解离动力学, 并给出了量子调控HD⁺分子光解离通道的理论方案. 通过分析HD⁺分子在不同的初始振动态和激光场强度下的光解离动力学过程及其解离核动能谱, 得出了HD⁺分子的光解离机理及其随激光场强度的变化规律. 研究结果表明, 利用激光场的强度可以实现HD⁺分子光解离通道的量子调控. 当激光场强度I₁ = 4.0 × 10¹³ W/cm²时, HD⁺分子的光解离主要是通过净单光子吸收解离和净双光子吸收解离; 当激光场强度增大到I₂ = 2.0 × 10¹⁴ W/cm²时, 直接双光子吸收解离取代了净单光子吸收解离, 净双光子吸收解离的比重也下降了.

关键词:

Abstract

The dissociation dynamics of HD⁺ molecule in an intense field is investigated by using an accurate three-dimensional time-dependent wave packet approach. When the 790-nm laser pulse interacts with HD⁺ molecule, the lowest electronic 1sσ and 2pσ states are coupled. Due to the existence of the permanent electric dipole moment, the transitions in HD⁺ molecule involve the direct absorption of an odd and even number of photons, thereby opening different pathways for dissociation. The model of the photon-dressed states is presented to analyze the possible dissociation pathways of HD⁺ molecule. The laser-induced dissociation of HD⁺ molecule is mainly composed of the four pathways: the direct one-photon absorption, the net two-photon absorption, the direct two-photon absorption, and the direct two-photon absorption. To reveal the dissociation mechanism of HD⁺ molecule, the kinetic energy resolved spectra are calculated at the given laser intensities. It is found that the dissociation pathways are strongly dependent on laser intensity, especially for the net one-photon absorption dissociation and direct two-photon absorption dissociation. With further research, the dissociation pathways of HD⁺ are controlled by regulating the intensity of laser pulse. At a laser intensity of 4.0 × 10¹³ W/cm², the kinetic energy resolved spectrum for the vibrational state ν = 3 includes the contributions from the net two-photon absorption dissociation and the direct two-photon absorption dissociation. For the vibrational state ν = 6, HD⁺ molecule is preferentially dissociated via the net one-photon absorption. However, the dissociation mechanism of HD⁺ molecule at the vibrational states ν = 3 and ν = 6 have significant changes as the laser intensity increases to 2.0 × 10¹⁴ W/cm². For the vibrational state ν = 3, the branching ratio between the dissociation pathway of the net two-photon absorption and that of the direct two-photon absorption has a dramatic change with the increase of laser intensity. Compared with the kinetic energy resolved spectra at laser energy of 4.0 × 10¹³ W/cm², the height of the dissociation peak from the net two-photon absorption decreases, and that of the direct two-photon absorption increases at laser intensity of 2.0 × 10¹⁴ W/cm². For the vibrational state ν = 6, the dissociation process of the net one-photon absorption almost disappears at laser intensity of 2.0 × 10¹⁴ W/cm², and it is replaced by the dissociation pathway of the direct two-photon absorption.

Keywords:

作者及机构信息

新疆工程学院, 新能源材料研究重点实验室, 乌鲁木齐　830091

通信作者: 李文亮, wenliangli@vip.126.com

基金项目: 新疆维吾尔自治区高等学校科研计划项目(批准号: XJEDU2016I051, XJEDU2017M042, XJEDU2018I020)、国家自然科学基金(批准号: 11764041, 51462034)、新疆维吾尔自治区天山青年计划(批准号: 2017Q033, 2017Q034)和新疆维吾尔自治区自然科学基金(批准号: 2019D01A32)资助的课题.

Authors and contacts

Laboratory of New Energy and Materials, Xinjiang Institute of Engineering, Urumqi 830091, China

Corresponding author: Li Wen-Liang, wenliangli@vip.126.com

Funds: Project supported by the Scientific Research Program of the Higher Education Institution of Xinjiang, China (Grant Nos. XJEDU2016I051, XJEDU2017M042, XJEDU2018I020), the National Natural Science Foundation of China (Grant Nos. 11764041, 51462034), the Tianshan Youth Program of Xinjiang, China (Grant Nos. 2017Q033, 2017Q034), and the Natural Science Foundation of Xinjiang, China (Grant No. 2019D01A32).

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参考文献

[1]	秦朝朝, 黄燕, 彭玉峰 2017 66 193301 Google Scholar Qin C C, Huang Y, Peng Y F 2017 Acta Phys. Sin. 66 193301 Google Scholar
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[19]	Liu Z T, Yuan K J, Shu C C, Hu W H, Cong S L 2010 J. Phys. B: At. Mol. Opt. Phys. 43 055601 Google Scholar
[20]	He H X, Lu R F, Zhang P Y, Guo Y H, Han K L, He G Z 2011 Phys. Rev. A 84 033418 Google Scholar
[21]	He H X, Lu R F, Zhang P Y, Han K L, He G Z 2012 J. Chem. Phys. 136 024311 Google Scholar
[22]	Lu R F, Zhang P Y, Han K L 2008 Phys. Rev. E 77 066701 Google Scholar
[23]	Hu J, Han K L, He G Z 2005 Phys. Rev. Lett. 95 123001
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[25]	姚洪斌, 张季, 彭敏, 李文亮 2014 63 198202 Google Scholar Yao H B, Zhang J, Peng M, Li W L 2014 Acta Phys. Sin. 63 198202 Google Scholar
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施引文献

图 1 HD⁺分子在1sσ和2pσ光子缀饰态势能曲线上的解离示意图^[15,25]

Fig. 1. The schematic diagram for the dissociation of HD⁺ molecule at the dressed potentials of electronic 1sσ and 2pσ states.

下载: 全尺寸图片幻灯片

图 2 激光场强度I₁ = 4.0 × 10¹³ W/cm²时, HD⁺分子在初始振动态ν = 3 (a)和ν = 6 (b)上的光解离核动能谱 (激光场的波长λ = 790 nm, 脉冲宽度τ = 40 fs)

Fig. 2. At the laser intensity of I₁ = 4.0 × 10¹³ W/cm², the kinetic energy resolved distributions of dissociation for the vibrational states ν = 3 (a) and ν = 6 (b) of HD⁺ molecule. The laser wavelength is 790 nm and the pulse duration is 40 fs, respectively.

下载: 全尺寸图片幻灯片

图 3 激光场强度I₂ = 2.0 × 10¹⁴ W/cm²时, HD⁺分子在初始振动态ν = 3 (a)和ν = 6 (b)上的光解离核动能谱 (激光场的波长λ = 790 nm, 脉冲宽度τ = 40 fs)

Fig. 3. At the laser intensity of I₂ = 2.0 × 10¹⁴ W/cm², the kinetic energy resolved distributions of dissociation for the vibrational states ν = 3 (a) and ν = 6 (b) of HD⁺ molecule. The laser wavelength is 790 nm and the pulse duration is 40 fs, respectively.

下载: 全尺寸图片幻灯片

图 4 当激光场强度I₁ = 4.0 × 10¹³ W/cm²(蓝线)和I₂ = 2.0 × 10¹⁴ W/cm²(红线)时, HD⁺分子在初始振动态ν = 6上光解离通道(激光场的波长λ = 790 nm, 脉冲宽度τ = 40 fs)

Fig. 4. The related pathways of dissociation for the vibrational state ν = 6 of HD⁺ molecule at the laser intensities of 4.0 × 10¹³ W/cm² (blue line) and 2.0 × 10¹⁴ W/cm² (red line). The laser wavelength is 790 nm, the pulse duration is 40 fs.

下载: 全尺寸图片幻灯片

map

[1]	秦朝朝, 黄燕, 彭玉峰 2017 66 193301 Google Scholar Qin C C, Huang Y, Peng Y F 2017 Acta Phys. Sin. 66 193301 Google Scholar
[2]	Kling M F, Siedschlag C, Verhoef A J, Khan J I, Schultze M, Uphues T, Ni Y, Uiberacker M, Drescher M, Krausz F, Vrakking M J J 2006 Science 312 246
[3]	Sun Z P, Yao H B, Wang C Y, Zhao, W K, Yang C L 2019 Laser Phys. Lett. 16 016001 Google Scholar
[4]	Chang Z C, Li C M, Guo W, Yao H B 2018 Chin. Phys. B 27 053301 Google Scholar
[5]	Yao H B, Guo W, Hoffmann M R, Han K L 2014 Phys. Rev. A 90 063418 Google Scholar
[6]	刘灿东, 贾正茂, 郑颖辉, 葛晓春, 曾志男, 李儒新 2016 65 223206 Google Scholar Liu C D, Jia Z M, Zheng Y H, Ge X C, Zeng Z N, Li R X 2016 Acta Phys. Sin. 65 223206 Google Scholar
[7]	姚洪斌, 李文亮, 张季, 彭敏 2014 63 178201 Google Scholar Yao H B, Li W L, Zhang J, Peng M 2014 Acta Phys. Sin. 63 178201 Google Scholar
[8]	Yao H B, Zhen Y J 2011 Phys. Chem. Chem. Phys. 13 8900 Google Scholar
[9]	Bucksbaum P H, Zavriyev A, Muller H G, Schumacher D W 1990 Phys. Rev. Lett. 64 1883 Google Scholar
[10]	Frasinski L J, Posthumus J H, Plumridge J, Codling K, Taday P F, Langley A J 1999 Phys. Rev. Lett. 83 3625 Google Scholar
[11]	Jolicard G, Atabek O 1992 Phys. Rev. A 46 5845 Google Scholar
[12]	Frasinski L J, Plumridge J, Posthumus J H, Codling K, Taday P F, Divall E J, Langley A J 2001 Phys. Rev. Lett. 86 2541 Google Scholar
[13]	Seideman T, Ivanov M Y, Corkum P B 1995 Phys. Rev. Lett. 75 2819 Google Scholar
[14]	Posthumus J H 2004 Rep. Prog. Phys. 67 623 Google Scholar
[15]	Orr P A, Williams I D, Greenwood J B, Turcu I C E, Bryan W A, Pedregosa-Gutierrez J, Walter C W 2007 Phys. Rev. Lett. 98 163001 Google Scholar
[16]	Kiess A, Pavičić D, Hänsch T W, Figger H 2008 Phys. Rev. A 77 053401 Google Scholar
[17]	McKenna J, Sayler A M, Gaire B, Johnson N G, Zohrabi M, Carnes K D, Esry B D, Ben-Itzhak I 2009 J. Phys. B: At. Mol. Opt. Phys. 42 121003 Google Scholar
[18]	McKenna J, Sayler A M, Gaire B, Johnson N G, Parke E, Carnes K D, Esry B D, Ben-Itzhak I 2009 Phys. Rev. A 80 023421 Google Scholar
[19]	Liu Z T, Yuan K J, Shu C C, Hu W H, Cong S L 2010 J. Phys. B: At. Mol. Opt. Phys. 43 055601 Google Scholar
[20]	He H X, Lu R F, Zhang P Y, Guo Y H, Han K L, He G Z 2011 Phys. Rev. A 84 033418 Google Scholar
[21]	He H X, Lu R F, Zhang P Y, Han K L, He G Z 2012 J. Chem. Phys. 136 024311 Google Scholar
[22]	Lu R F, Zhang P Y, Han K L 2008 Phys. Rev. E 77 066701 Google Scholar
[23]	Hu J, Han K L, He G Z 2005 Phys. Rev. Lett. 95 123001
[24]	Feuerstein B, Thumm U 2003 Phys. Rev. A 67 043405 Google Scholar
[25]	姚洪斌, 张季, 彭敏, 李文亮 2014 63 198202 Google Scholar Yao H B, Zhang J, Peng M, Li W L 2014 Acta Phys. Sin. 63 198202 Google Scholar
[26]	Yao H B, Zhao G J 2014 J. Phys. Chem. A 118 9173 Google Scholar
[27]	McKenna J, Sayler A M, Anis F, Gaire B, Johnson N G, Parke E, Hua J J, Mashiko H, Nakamura C M, Moon E, Chang Z, Carnes K D, Esry B D, Ben-Itzhak I 2008 Phys. Rev. Lett. 100 133001 Google Scholar

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HD⁺分子的强场光解离动力学及其量子调控的理论研究