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Recently, the hybrid cavity-magnon system has attracted considerable interest. Owing to the good tunability of magnons, it is promising to use the magnons as a core to implement a hybrid quantum platform for transferring information among different quantum systems. In this article, we first briefly review the cavity magnonic systems and clarify the coupling mechanism between magnons and microwave photons. Then, we introduce the latest research progress in the aspects of nonlinearity and pseudo-Hermiticity, including the bistability of cavity magnon polaritons, observation of the second-order exceptional point in a PT-symmetric hybrid cavity-magnon system, and the pseudo-Hermiticity with a third-order exceptional point.
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Keywords:
- hybrid cavity-magnon system /
- cavity magon polariton /
- Kerr effect and bistability /
- pseudo-Hermiticity and exceptional point
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Google Scholar
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[48] Bogoliubov N N 1958 Phys. Today 34 1
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Google Scholar
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图 2 自旋波模和腔模共振时下支极化激元的频率移动随驱动功率变化情况 (a)偏置磁场沿晶轴[100]的情况; (b)偏置磁场沿晶轴[110]的情况[41]
Figure 2. When the magnon resonated with the cavity mode, the curves of the frequency shift of the lower-branch cavity magnon polaritons
${\varDelta _{{\rm{LP}}}}$ versus the driving power${P_{\rm{d}}}$ : (a) The bias magnetic field is along the crystal axis [100]; (b) the bias magnetic field is along the crystal axis [110][41].
图 3 赝厄米哈密顿量、PT对称哈密顿量和厄米哈密顿量之间关系示意图
Figure 3. Relationship between the pseudo-Hermitian, the PT-symmetric Hamiltonian and the Hermitian Hamiltonian.
图 5 PT对称系统中总传输谱
${\left| {{S_{{\rm{tot}}}}\left( \omega \right)} \right|^2}$ 随YIG小球位置x以及输入场频率$\omega $ 的变化情况 (a)理论模拟结果; (b)实验结果[42]Figure 5. The total transmission spectrum
${\left| {{S_{{\rm{tot}}}}\left( \omega \right)} \right|^2}$ versus the position of YIG sphere$x$ and the frequency of input field$\omega $ : (a) The theoretical simulation results; (b) the experimental results[42].
图 6 赝厄米系统示意图和理论结果模拟图[47] (a)赝厄米系统示意图; (b)理论模拟总传输谱
${\left| {{S_{{\rm{tot}}}}\left( \omega \right)} \right|^2}$ 随耦合强度${g_1}$ 以及输入场和腔模之间的频率失谐量$\omega - {\omega _{\rm{c}}}$ 的变化情况Figure 6. The system schematic and the simulation of theoretical results of pseudo-Hermitian system[47]: (a) The schematic of pseudo-Hermitian system; (b) the total transmission spectrum
${\left| {{S_{{\rm{tot}}}}\left( \omega \right)} \right|^2}$ versus the coupling strength${g_1}$ and the frequency detuning between the input field and the cavity mode$\omega - {\omega _{\rm{c}}}$ . -
[1] Shor P W 1994 Proceedings of 35 th Annual Symposium on Foundations of Computer Scienece Los Alamitos, USA, November 22–24, 1994 p124
[2] Grover L K 1996 Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing New York, USA, May 22–24, 1996 p212
[3] Buluta I, Ashhab S, Nori F 2011 Rep. Prog. Phys. 74 104401
Google Scholar
[4] Blatt R, Roos C F 2012 Nat. Phys. 8 277
Google Scholar
[5] Hanson R, Kouwenhoven L P, Petta J R, Tarucha S, Vandersypen L M K 2007 Rev. Mod. Phys. 79 1217
Google Scholar
[6] 孔祥宇, 朱垣晔, 闻经纬, 新涛, 李可仁, 龙桂鲁 2018 67 220301
Google Scholar
Kong X Y, Zhu Y Y, Wen J W, Xin T, Li K R, Long G L 2018 Acta Phys. Sin. 67 220301
Google Scholar
[7] You J Q, Nori F 2005 Phys. Today 58 42
[8] Devoret M H, Schoelkopf R J 2013 Science 339 1169
Google Scholar
[9] You J Q, Hu X D, Ashhab S, Nori F 2007 Phys. Rev. B 75 140515
Google Scholar
[10] Koch J, Yu T M, Gambetta J, Houck A A, Schuster D I, Majer J, Blais A, Devoret M H, Girvin S M, Schoelkopf R J 2007 Phys. Rev. A 76 042319
Google Scholar
[11] Barends R, Kelly J, Megrant A, Veitia A, Sank D, Jeffrey E, White T C, Mutus J, Fowler A G, Campbell B, Chen Y, Chen Z, Chiaro B, Dunsworth A, Neill C, O’Malley P, Roushan P, Vainsencher A, Wenner J, Korotkov A N, Cleland A N, Martinis J M 2014 Nature 508 500
Google Scholar
[12] Feynman R P 1986 Found. Phys. 16 507
Google Scholar
[13] Nielsen M A, Chuang I L 2001 Quantum Computation and Quantum Information (London: Cambridge University Press) p702
[14] Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C, O’Brien J L 2010 Nature 464 45
Google Scholar
[15] Feynman R P 1982 Int. J. Theor. Phys. 21 467
Google Scholar
[16] Aspuru-Guzik A, Dutoi A D, Love P J, Head-Gordon M 2005 Science 309 1704
Google Scholar
[17] Cirac J I, Zoller P 2012 Nat. Phys. 8 264
Google Scholar
[18] Xiang Z L, Ashhab S, You J Q, Nori F 2013 Rev. Mod. Phys. 85 623
Google Scholar
[19] Kurizkia G, Bertetb P, Kubob Y, Molmer K, Petrosyan D, Rabl P, Schmiedmayer J 2015 Proc. Natl. Acad. Sci. USA 112 3866
Google Scholar
[20] Bienfait A, Pla J J, Kubo Y, Stern M, Zhou X, Lo C C, Weis C D, Schenkel T, Thewalt M L W, Vion D, Esteve D, Julsgaard B, Moelmer K, Morton J J L, Bertet P 2016 Nat. Nano 11 253
[21] Raizen M G, Thompson R J, Brecha R J, Kimble H J, Carmichael H J 1989 Phys. Rev. Lett. 63 240
Google Scholar
[22] Soykal Ö O, Flatté M E 2010 Phys. Rev. Lett. 104 077202
[23] Soykal Ö O, Flatté M E 2010 Phys. Rev. B 82 104413
Google Scholar
[24] Huebl H, Zollitsch C W, Lotze J, Hocke F, Greifenstein M, Marx A, Gross R, Goennenwein S T B 2013 Phys. Rev. Lett. 111 127003
Google Scholar
[25] Zhang X, Zou C L, Jiang L, Tang H X 2014 Phys. Rev. Lett. 113 156401
Google Scholar
[26] Tabuchi Y, Ishino S, Ishikawa T, Yamazaki R, Usami K, Nakamura Y 2014 Phys. Rev. Lett. 113 083603
Google Scholar
[27] Zhang D K, Wang X M, Li T F, Luo X Q, Wu W D, Nori F, You J Q 2015 NPJ Quantum Inf. 1 15014
Google Scholar
[28] Bai L H, Harder M, Chen Y P, Fan X, Xiao J Q, Hu C M 2015 Phys. Rev. Lett. 114 227201
Google Scholar
[29] Haigh J A, Langenfeld S, Lambert N J, Baumberg J J, Ramsay A J, Nunnenkamp A, Ferguson A J 2015 Phys. Rev. A 92 063845
Google Scholar
[30] Tabuchi Y, Ishino S, Noguchi A, Ishikawa T, Yamazaki R, Usami K, Nakamura Y 2015 Science 349 405
Google Scholar
[31] Quirion D L, Tabuchi Y, Ishino S, Noguchi A, Ishikawa T, Yamazaki R, Nakamura Y 2017 Sci. Adv. 3 e1603150
Google Scholar
[32] Zhang X F, Zou C L, Jiang L, Tang H X 2016 Sci. Adv. 2 e1501286
Google Scholar
[33] Harder M, Yang Y, Yao B M, Yu C H, Rao J W, Gui Y S, Stamps R L, Hu C M 2018 Phys. Rev. Lett. 121 137203
[34] Grigoryan V L, Shen K, Xia K 2018 Phys. Rev. B 98 024406
Google Scholar
[35] Xu P C, Rao J W, Gui Y S, Jin X, Hu C M 2019 Phys. Rev. B 100 094415
Google Scholar
[36] Yu W C, Wang J J, Yuan H Y, Xiao J 2019 arXiv: 1907.06222 v2 [cond-mat. mes-hall]
[37] Yuan H Y, Peng Y P, Zheng S S, He Q Y, Xia K, Yung M H 2019 arXiv: 1905.11117 v1 [cond-mat. mes-hall]
[38] Wang Y P, Rao J W, Yang Y, Xu P C, Gui Y S, Yao B M, You J Q, Hu C M 2019 Phys. Rev. Lett. 123 127202
Google Scholar
[39] Quirion D L, Tabuchi Y, Gloppe A, Usami K, Nakamura Y 2019 Appl. Phys. Express 12 070101
Google Scholar
[40] Wang Y P, Zhang G Q, Zhang D K, Luo X Q, Xiong W, Wang S P, Li T F, Hu C M, You J Q 2016 Phys. Rev. B 94 224410
Google Scholar
[41] Wang Y P, Zhang G Q, Zhang D K, Li T F, Hu C M, You J Q 2018 Phys. Rev. Lett. 120 057202
Google Scholar
[42] Zhang D K, Luo X Q, Wang Y P, Li T F, You J Q 2017 Nat. Com. 8 1368
Google Scholar
[43] Zhang G Q, You J Q 2019 Phys. Rev. B 99 054404
Google Scholar
[44] Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
Google Scholar
[45] Kostylev N, Goryachev M, Tobar M E 2016 Appl. Phys. Lett. 108 062402
Google Scholar
[46] Rezende S M, de Aguiar F M 1990 Proc. IEEE 78 893
Google Scholar
[47] Zhang G Q, Wang Y P, You J Q 2019 Sci. China: Phys. Mech. Astron. 62 987511
Google Scholar
[48] Bogoliubov N N 1958 Phys. Today 34 1
[49] Harder M, Bai L H, Match C, Sirker J, Hu C M 2016 Sci. China: Phys. Mech. Astron. 59 117511
Google Scholar
[50] Bender C M, Boettcher S 1998 Phys. Rev. Lett. 80 5243
Google Scholar
[51] Konotop V V, Yang J, Zezyulin D A 2016 Rev. Mod. Phys. 88 035002
Google Scholar
[52] Mostafazadeh A 2002 J. Math. Phys. 43 205
Google Scholar
[53] Mostafazadeh A 2002 J. Math. Phys. 43 2814
Google Scholar
[54] Grigoryan V L, Xia K 2019 Phys. Rev. B 99 224408
Google Scholar
[55] Cao Y S, Yan P 2019 Phys. Rev. B 99 214415
Google Scholar
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