失谐对耗散耦合腔阵列体系超流-绝缘相变的影响

鲍佳; 谭磊

doi:10.7498/aps.63.084201

摘要

利用平均场理论和微扰论解析求解了失谐存在且环境作用下Jaynes-Cummings-Hubbard 模型的哈密顿量，得到了体系序参量的解析表达式，并讨论了失谐对体系超流-绝缘相变的影响. 研究结果表明：调节失谐可以改变腔间的有效排斥势和系统的临界隧穿率，实现系统在超流态和绝缘态之间转变. 结合耗散耦合腔阵列的输运性质探讨了失谐对序参量取值的影响，结果显示：沿失谐负支随着失谐的增大，序参量会经历先增后减的变化.

关键词:

Abstract

In this paper, based on the effective Jaynes-Cummings-Hubbard model Hamiltonian in the presence of detuning, we use the mean-field and the perturbation theory to figure out the superfluid order parameter of the system. By which we find that detuning from resonance allows one to drive the system from the superfluid into the insulator state of the polaritons and the reverse. In addition, combining with the properties of transportation of coupled dissipative cavity arrays with detuning, we discuss the influence of detuning on the number of superfluid polaritons and the lifetime of superfluid states. It suggests that the number of the superfluid polaritons will increase to its maximum and then reduce again along the negative part of detuning, which is similar to the spectrum of the transmission.

Keywords:

作者及机构信息

鲍佳¹,
谭磊^1,2

1.
兰州大学理论物理研究所, 兰州 730000;

2.
兰州大学, 磁学与磁性材料教育部重点实验室, 兰州 730000

基金项目: 国家自然科学基金（批准号：11274148）资助的课题.

Authors and contacts

Bao Jia¹,
Tan Lei^1,2

1.
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China;

2.
Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou 730000, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11274148).

参考文献

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[33]	Hai L, Tan L, Feng J S, Xu W B, Wang B 2014 Chin. Phys. B 23 024202
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[41]	Liao J Q, Gong Z R, Zhou L, Liu Y X, Sun C P, Nori F 2010 Phys. Rev. A 81 042304
[42]	Cheng M T, Song Y Y, Yu L B 2012 Chin. Phys. Lett. 29 054211
[43]	Gu L M 2012 Chin. Phys. Lett. 29 104206

施引文献

[1]	Raimond J M, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565
[2]	Mabuchi H, Doherty A C 2002 Science 298 1372
[3]	Wallraff A, Schuster D I, Blais A, Frunzio L, Huang R S, Majer J, Kumar S, Girvin S M, Schoelkopf R J 2004 Nature 431 162
[4]	Birnbaum K M, Boca A, Miller R, Boozer A D, Northup T E, Kimble H J 2005 Nature 436 87
[5]	Xia F, Sekaric L, Vlasov Y 2007 Nature Photon. 1 65
[6]	Notomi M, Kuramochi E, Tanabe T 2008 Nature Photon. 2 741
[7]	Hartmann M J, Brandao F G S L, Plenio M B 2008 Laser Photon. Rev. 2 527
[8]	Greentree A D, Tahan C, Cole J H, Hollenberg L C L 2006 Nat. Phys. 2 856
[9]	Hartmann M J, Brandao F G S L, Plenio M B 2006 Nat. Phys. 2 849
[10]	Schmidt S, Blatter G 2009 Phys. Rev. Lett. 103 086403
[11]	Diehl S, Micheli A, Kantian A, Kraus B, Bchler H P, Zoller P 2008 Nat. Phys. 4 878
[12]	Gerace D, Treci H E, Imamolu A, Giovannetti V, Fazio R 2009 Nat. Phys. 5 281
[13]	Karasik R I, Wiseman H M 2011 Phys. Rev. Lett. 106 020406
[14]	Hur K L 2008 Ann. Phys. (NY) 323 2208
[15]	Leib M, Hartmann M J 2010 New J. Phys. 12 093031
[16]	Knap M, Arrigoni E, von der Linden W, Cole J H 2011 Phys. Rev. A 83 023821
[17]	Nissen F, Schmidt S, Biondi M, Blatter G, Treci H E, Keeling J 2012 Phys. Rev. Lett. 108 233603
[18]	Carusotto I, Gerace D, Tureci H E, De Liberato S, Ciuti C, Imamolu A 2009 Phys. Rev. Lett. 103 033601
[19]	D’Souza A G, Sanders B C, Feder D L 2013 Phys. Rev. A 88 063801
[20]	Hartmann M J 2010 Phys. Rev. Lett. 104 113601
[21]	Tomadin A, Giovannetti V, Fazio R, Gerace D, Carusotto I, Treci H E, Imamolu A 2010 Phys. Rev. A 81 061801(R)
[22]	Liu K, Tan L, L C H, Liu W M 2011 Phys. Rev. A 83 063840
[23]	Marcos D, Tomadin A, Diehl S, Rabl P 2012 New J. Phys. 14 055005
[24]	Schetakis N, Grujic T, Clark S, Jaksch D, Angelakis D G 2013 J. Phys. B: At. Mol. Opt. Phys. 46 224025
[25]	Grujic T, Clark S R, Jaksch D, Angelakis D G 2013 Phys. Rev. A 87 053846
[26]	Grujic T, Clark S R, Jaksch D, Angelakis D G 2012 New J. Phys. 14 103025
[27]	Nissen F, Schmidt S, Biondi M, Blatter G, Treci H E, Keeling J 2012 Phys. Rev. Lett. 108 233603
[28]	Kulaitis G, Krger F, Nissen F, Keeling J 2013 Phys. Rev. A 87 013840
[29]	Toyoda K, Matsuno Y, Noguchi A, Haze S, Urabe S 2013 Phys. Rev. Lett. 111 160501
[30]	Valle E D, Hartmann M J 2013 J. Phys. B: At. Mol. Opt. Phys. 46224023
[31]	Tan L, Hai L 2012 J. Phys. B: At. Mol. Opt. Phys. 45 035504
[32]	Hai L, Tan L, Feng J S, Bao J, L C H, Wang B 2013 Eur. Phys. J. D 67 173
[33]	Hai L, Tan L, Feng J S, Xu W B, Wang B 2014 Chin. Phys. B 23 024202
[34]	Zhou L, Liu Z J, Yan W B, Mu Q X 2011 Chin. Phys. B 20 074205
[35]	Imamo\=glu A, Schmidt H, Woods G, Deutsch M 1997 Phys. Rev. Lett. 79 1467
[36]	Grangier P, Walls D F, Gher K M 1998 Phys. Rev. Lett. 81 2833
[37]	Imamo lu A, Schmidt H, Woods G, Deutsch M 1998 Phys. Rev. Lett. 81 2836
[38]	Birnbaum K M, Boca A, Miller R, Boozer A D, Northup T E, Kimble H J 2005 Nature 436 87
[39]	Du X Y, Zheng W H, Ren G, Wang K, Xing M X, Chen L H 2008 Acta Phys. Sin. 57 571 (in Chinese) [杜晓宇, 郑婉华, 任刚, 王科, 邢名欣, 陈良惠 2008 57 571]
[40]	Zhou L, Gong Z R, Liu Y X, Sun C P, Nori F 2008 Phys. Rev. Lett. 101 100501
[41]	Liao J Q, Gong Z R, Zhou L, Liu Y X, Sun C P, Nori F 2010 Phys. Rev. A 81 042304
[42]	Cheng M T, Song Y Y, Yu L B 2012 Chin. Phys. Lett. 29 054211
[43]	Gu L M 2012 Chin. Phys. Lett. 29 104206

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