Geometric phases in qubit-oscillator system beyond conventional rotating-wave approximation

doi:10.1088/1674-1056/21/4/044207

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 44207-044207.doi: 10.1088/1674-1056/21/4/044207

王月明¹ ²,杜冠¹,梁九卿¹

收稿日期:2011-09-10 修回日期:2011-10-10 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 王月明,wang_ym@sxu.edu.cn E-mail:wang_ym@sxu.edu.cn

Geometric phases in qubit-oscillator system beyond conventional rotating-wave approximation

Wang Yue-Ming(王月明)^a)b)^†, Du Guan(杜冠)^a), and Liang Jiu-Qing(梁九卿)^a)

a. Department of Physics, Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China;
b. State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China

Received:2011-09-10 Revised:2011-10-10 Online:2012-02-29 Published:2012-02-29
Contact: Wang Yue-Ming,wang_ym@sxu.edu.cn E-mail:wang_ym@sxu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11075099, 11047167, and 11105087), the Programme of State Key Laboratory of Quantum Optics and Quantum Optics Devices (Grant No. KF201002), the National Fundamental Fund of Personnel Training (Grant No. J1103210), and the Youth Science Foundation of Shanxi Province of China (Grant No. 2010021003-2).

摘要/Abstract

Abstract: In this work we investigated the geometric phases of a qubit-oscillator system beyond the conventional rotating-wave approximation. We find that in the limiting of weak coupling the results coincide with that obtained under rotating-wave approximation while there exists an increasing difference with the increase of coupling constant. It was shown that the geometric phase is symmetric with respect to the sign of the detuning of the quantized field from the one-photon resonance under the conventional rotating-wave approximation while a red-blue detuning asymmetry occurs beyond the conventional rotating-wave approximation.

Key words: geometric phase, rotating-wave approximation, red-blue detuning asymmetry

中图分类号: (Quantum description of interaction of light and matter; related experiments)

42.50.Ct

03.65.Vf (Phases: geometric; dynamic or topological)

王月明, 杜冠, 梁九卿. [J]. 中国物理B, 2012, 21(4): 44207-044207.

Wang Yue-Ming(王月明), Du Guan(杜冠), and Liang Jiu-Qing(梁九卿) . Geometric phases in qubit-oscillator system beyond conventional rotating-wave approximation[J]. Chin. Phys. B, 2012, 21(4): 44207-044207.

参考文献 39

[1]	Berry M V 1984 Proc. R. Soc. London A 392 45
[2]	Aharonov Y and Anandan J 1987 Phys. Rev. Lett. 58 1593
[3]	Shapere A and Wilczek F 1989 Geometric Phases in Physics (Singapore: World Scientific)
[4]	Mead C A 1992 Rev. Mod. Phys. 64 51
[5]	Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[6]	Zhu S L and Wang Z D 2002 Phys. Rev. Lett. 89 097902
[7]	Moler D, Madsen L and Molmer K 2007 Phys. Rev. A 75 062302
[8]	Joshi A and Xiao M 2006 Phys. Lett. A 359 390
[9]	Yin S and Tong D M 2009 Phys. Rev. A 79 044303
[10]	Jones J A, Vedral V, Ekert A and Castagnoli G 2000 Nature 403 869
[11]	Filipp S, Klepp J, Hasegawa Y, Plonka-Spehr C, Schmidt U, Geltenbort P and Rauch H 2009 Phys. Rev. Lett. 102 030404
[12]	Fuentes-Guridi I, Carollo A, Bose S and Vedral V 2002 Phys. Rev. Lett. 89 220404
[13]	Carollo A, Francca Santos M and Vedral V 2003 Phys. Rev. A 67 063804
[14]	Liu Y, Wei L F, Jia W Z and Liang J Q 2010 Phys. Rev. A 82 045801
[15]	Leek P J, Fink J M, Blais A, Bianchetti R, Göppl M, Gambetta J M, Schuster D I, Frunzio L, Schoelkopf R J and Wallraff A 2007 Science 318 1889
[16]	Jaynes E T and Cummings F W 1963 Proc. IEEE 51 89
[17]	Rempe G and Walther H 1987 Phys. Rev. Lett. 58 353
[18]	Fink J M, Göppl M, Baur M, Bianchetti R, Leek P J, Blais A and Wallraff A 2008 Nature 454 315
[19]	Shore B W and Knight P L 1993 J. Mod. Opt. 40 1195
[20]	Bonci L, Roncaglia R, West B J and Grigolini P 1991 Phys. Rev. Lett. 67 2593
[21]	Zheng H, Zhu S Y and Zubairy M S 2008 Phys. Rev. Lett. 101 200404
[22]	Forn-D'hiaz P, Lisenfeld J, Marcos D, Garc'hia-Ripoll J J, Solano E, Harmans C J P M and Mooij J E 2010 Phys. Rev. Lett. 105 2370014
[23]	Cao X F, You J Q, Zheng H and Nori F 2010 New J. Phys. 13 073002
[24]	Yang Q, Yang M, Li D C and Cao Z L 2009 Chin. Phys. B 18 4662
[25]	Liu W C, Wang F Q and Liang R S 2010 Chin. Phys. B 19 094204
[26]	Irish E K 2007 Phys. Rev. Lett. 99 173601
[27]	Martin I and Schwab K C 2005 Phys. Rev. B 72 195410
[28]	Chen Q H, Zhang Y Y, Liu T and Wang K L 2008 Phys. Rev. A 78 051801
[29]	Zhang Y Y, Chen Q H and Wang K L 2010 Phys. Rev. B 81 121105
[30]	Guo W 2009 Phys. Rev. A 80 033828
[31]	Casanova J, Romero G, Lizuain I, Garc'hi a-Ripoll J J and Solano E 2010 Phys. Rev. Lett. 105 263603
[32]	Hausinger J and Grifoni M 2011 Phys. Rev. A 83 030301
[33]	Gan C J and Zheng H 2010 Eur. Phys. J. D 59 473
[34]	Werlang T, Dodonov A V, Duzzioni E I and Villas-B^oas C J 2008 Phys. Rev. A 78 053805
[35]	Chen G, Li J Q and Liang J Q 2006 Phys. Rev. A 74 054101
[36]	Carollo A, Fuentes-Guridi I, Santos M F and Vedral V 2004 Phys. Rev. Lett. 92 020402
[37]	Larson J and Levin S 2009 Phys. Rev. Lett. 103 013602
[38]	Reithmaier J P, Sek G, Löffler A, Hofmann C, Kuhn S, Reitzenstein S, Keldysh L V, Kulakovskii V D, Reinecke T L and Forchel A 2004 Nature 432 197
[39]	Imamoglu A, Awschalom D D, Burkard G, DiVincenzo D P, Loss D, Sherwin M and Small A 1999 Phys. Rev. Lett. 83 4204

Geometric phases in qubit-oscillator system beyond conventional rotating-wave approximation

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