Rabi模型的光场压缩

俞立先; 梁奇锋; 汪丽蓉; 朱士群

doi:10.7498/aps.62.160301

摘要

电路量子电动力学的实验实现了光与人造原子的超强耦合相互作用, 相互作用强度与光场频率在同一个数量级.在超强耦合区域, 著名的旋波近似失效, 因此系统的动力学必须用含有反旋波项的Rabi模型描述.本文研究Rabi模型中的光场压缩.数值模拟结果发现, 光场压缩不是随耦合强度线性增加, 而是在合适的超强区域获得最大值.同时, 我们还发现, 较小的反旋波项有助于提高光场压缩.所得结果有利于实验上在超强区域中制备所需的压缩态.

关键词:

Rabi模型 /
超强耦合 /
光场压缩

Abstract

Recent experiments about the circuit cavity quantum electrodynamics have realized the ultrastrong couplings between the artificial atom and the photon, in which the coupling strengths have the same order of the photon frequency. In such a regime, the well-known rotating wave approximation is invalid, and the system dynamics is thus governed by the Rabi model. In this paper, we investigate the photon squeezing of the Rabi model. We find numerically that with the increase of the atom-photon coupling strength, the photon squeezing does not increase linearly, but displays a maximum in the ultrastrong coupling regime. In addition, we also reveal that the photonsqueezing can be enhanced by the counter-rotating terms of the Rabi model. Our results are of benefit to preparing the required squeezing state of the photon in experiment.

Keywords:

作者及机构信息

1.
苏州大学物理科学与技术学院, 苏州 215006;

2.
绍兴文理学院数理信息学院, 绍兴 312000;

3.
山西大学激光光谱研究所, 太原 030006

基金项目: 国家自然科学基金(批准号: 11074184, 11275129, 61275211)和浙江省自然科学基金(批准号：LY13A040001)资助的课题.

Authors and contacts

1.
School of Physical Science and Technology, Soochow University, Suzhou 215006, China;

2.
Department of Physics, Shaoxing University, Shaoxing 312000, China;

3.
Laser Spectroscopy Laboratory, Shanxi University, Taiyuan 030006, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074184, 11275129, 61275211) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13A040001).

参考文献

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施引文献

[1]	Jaynes E T, Cummings F W 1963 Proc. IEEE 51 89
[2]	Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
[3]	Holstein T 1959 Ann. Phys. (Amsterdam, Neth.) 8 325
[4]	Raimond J M, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565
[5]	Blais A, Huang R S, Wallraff A, Girvin S M, Schoelkopf R J 2004 Phys. Rev. B 69 62320
[6]	Wallraff A, Schuster D, Blais A, Frunzio L, Huang R S, Majer J, Kumar S, Girvin S, Schoelkopf R 2004 Nature 431 162
[7]	Niemczyk T, Deppe F, Huebl H, Menzel E P, Hocke F, Schwarz M J, Garcia-Ripoll J J, Zueco D, Hummer T, Solanoet E 2010 Nat. Phys. 6 772
[8]	Fedorov A, Feofanov A K, Macha P, Forn-Díaz P, Harmans C J P M, Mooij J E 2010 Phys. Rev. Lett. 105 060503
[9]	Crespi A, Longhi S, Osellame R 2012 Phys. Rev. Lett. 108 163601
[10]	Ballester D, Romero G, García-Ripoll J, Deppe F, Solano E 2012 Phys. Rev. X 2 021007
[11]	Arne G L 2013 Phys. Rev. A 87 033814
[12]	Forn-Díaz P, Lisenfeld J, Marcos D, García-Ripoll J J, Solano E, Harmans C J P M, Mooij J E 2010 Phys. Rev. Lett. 105 237001
[13]	Rabi I I 1936 Phys. Rev. 49 324
[14]	Irish E K 2007 Phys. Rev. Lett. 99 173601
[15]	Zhang Y W, Chen G, Yu L X, Liang Q F, Liang J Q, Jia S T 2011 Phys. Rev. A 83 065802
[16]	Yu L X, Zhu S Q, Liang Q F, Chen G, Jia S T 2012 Phys. Rev. A 86 015803
[17]	Braak D 2011 Phys. Rev. Lett. 107 100401
[18]	Zhang Y Y, Chen Q H, Wang K L 2010 Phys. Rev. B 81 121105
[19]	Chen Q H, Wang C, He S, Liu T, Wang K L 2012 Phys. Rev. A 86 023822
[20]	Chen Q H, Liu T, Zhang Y Y, Wang K L 2011 Europhys. Lett. 96 14003
[21]	Li X Q, Wang J, Wang F, Hu X M 2008 Acta Phys. Sin. 57 2236 (in Chinese) [李晓奇, 王剑, 王飞, 胡响明2008 57 2236]
[22]	Jia F, Xie S Y, Yang Y P 2006 Acta Phys. Sin. 56 5835 (in Chinese) [贾飞, 谢双媛, 羊亚平 2006 56 5835]
[23]	Liao X, Cong H L, Jiang D L, Ren X Z 2010 Acta Phys. Sin. 59 5508 (in Chinese) [廖旭, 丛红璐, 姜道来, 任学藻 2010 59 5508]
[24]	Bonci L, Roncaglia R, West B J, Grigolini P 1991 Phys. Rev. Lett. 67 2593
[25]	Ashhab S 2013 Phys. Rev. A 87 013826
[26]	Ridolfo A, Leib M, Savasta S, Hartmann M J 2012 Phys. Rev. Lett. 109 193602
[27]	Romero G, Ballester D, Wang Y M, Scarani V, Solano E 2012 Phys. Rev. Lett. 108 120501
[28]	Zheng H, Zhu S Y, Zubairy M S 2008 Phys. Rev. Lett. 101 200404
[29]	Liang Q F, Yu L X, Chen G, Jia S T 2013 Eur. Phys. J. D 67 21
[30]	Stoler D 1970 Phys. Rev. D 1 3217
[31]	Hollenhorst J N 1979 Phys. Rev. D 19 1669
[32]	Peng K C 2001 Physics 30 300 (in Chinese) [彭堃墀 2001 物理 30 300]
[33]	Zhang Y, Wang H, Li X Y, Jing J T, Xie C D, Peng K C 2000 Phys. Rev. A 62 023813
[34]	Zhang J, Ye C G, Gao F, Xiao M 2008 Phys. Rev. Lett. 101 233602
[35]	Song J, Fan H Y, Zhou J 2011 Acta Phys. Sin. 60 110302 (in Chinese) [宋军, 范洪义, 周军 2011 60 110302]
[36]	Fan H Y, Pan X Y 1998 Chin. Phys. Lett. 15 625
[37]	Zhao J G, Sun C Y, Liang B L, Su J 2009 Acta Phys. Sin. 58 4635 (in Chinese) [赵建刚, 孙长勇, 梁宝龙, 苏杰 2009 58 4635]
[38]	Li Z H, Yu M Z, Yang Y P 2008 Acta Phys. Sin. 57 1693 (in Chinese) [李征鸿, 于明章, 杨亚平 2008 57 1693]
[39]	Meystre P, Zubairy M S 1982 Phys. Lett. A 89 390
[40]	Knight P L 1986 Phys. Scr. 86 51
[41]	Kukliński J, Madajczyk J 1988 Phys. Rev. A 37 3175
[42]	Ma J, Wang X G, Sun C P, Nori F 2011 Phys. Rep. 509 89
[43]	Hillery M 1987 Phys. Rev. A 36 3796
[44]	Casanova J, Romero G, Lizuain I, García-Ripoll J J, Solano E 2010 Phys. Rev. Lett. 105 263603
[45]	Hillery M 1989 Phys. Rev. A 39 1556

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