Temperature dependence of the energy-level shift induced by the Bose–Einstein condensation of photons

doi:10.1088/1674-1056/21/9/090502

中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90502-090502.doi: 10.1088/1674-1056/21/9/090502

Temperature dependence of the energy-level shift induced by the Bose–Einstein condensation of photons

张建军, 成泽, 袁建辉, 张俊佩

School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2012-01-06 修回日期:2012-04-04 出版日期:2012-08-01 发布日期:2012-08-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10174024 and 10474025).

Temperature dependence of the energy-level shift induced by the Bose–Einstein condensation of photons

Zhang Jian-Jun (张建军), Cheng Ze (成泽), Yuan Jian-Hui (袁建辉), Zhang Jun-Pei (张俊佩)

School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2012-01-06 Revised:2012-04-04 Online:2012-08-01 Published:2012-08-01
Contact: Zhang Jian-Jun E-mail:ruoshui789@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10174024 and 10474025).

摘要/Abstract

摘要： We investigate the energy-level shift of a hydrogen atom in a two-dimensional optical microcavity, where there exists a Bose-Einstein condensation of photons. It is found that below the critical temperature T_c, the energy-level shift of the bound electron is dependent on temperature, and it is a monotonically increasing function of the absolute temperature T. Especially, at the absolute zero temperature, the energy-level shift entirely comes from the Lamb shift, and the atom can be treated approximately, that is, in vacuum.

关键词: Bose-Einstein condensation, energy-level shift, two-level atom

Abstract: We investigate the energy-level shift of a hydrogen atom in a two-dimensional optical microcavity, where there exists a Bose-Einstein condensation of photons. It is found that below the critical temperature T_c, the energy-level shift of the bound electron is dependent on temperature, and it is a monotonically increasing function of the absolute temperature T. Especially, at the absolute zero temperature, the energy-level shift entirely comes from the Lamb shift, and the atom can be treated approximately, that is, in vacuum.

Key words: Bose-Einstein condensation, energy-level shift, two-level atom

中图分类号: (Boson systems)

05.30.Jp

32.70.Cs (Oscillator strengths, lifetimes, transition moments) 42.50.Nn (Quantum optical phenomena in absorbing, amplifying, dispersive and conducting media; cooperative phenomena in quantum optical systems)

张建军, 成泽, 袁建辉, 张俊佩. Temperature dependence of the energy-level shift induced by the Bose–Einstein condensation of photons[J]. 中国物理B, 2012, 21(9): 90502-090502.

Zhang Jian-Jun (张建军), Cheng Ze (成泽), Yuan Jian-Hui (袁建辉), Zhang Jun-Pei (张俊佩). Temperature dependence of the energy-level shift induced by the Bose–Einstein condensation of photons[J]. Chin. Phys. B, 2012, 21(9): 90502-090502.

参考文献 32

[1]	Anderson M H, Ensher J R, Matthews M R, Wieman C E and Cornell E A 1995 Science 269 198
[2]	Davis K B, Mewes M O, Andrews M R, van Druten N J, Kurn D M and Ketterle W 1995 Phys. Rev. Lett. 75 3969
[3]	Bradley C C, Sackett C A and Hulet R G 1997 Phys. Rev. Lett. 78 985
[4]	Jochim S, Bartenstein M, Altmeyer A, Hendl G, Riedl S, Chin C, Hecker Denschlag J and Grimm R 2003 Science 302 2101
[5]	Deng H, Weihs G, Bloch J and Yamamoto Y 2002 Science 298 199
[6]	Wang Y Z, Zhou S Y, Long Q, Zhou S Y and Fu H X 2003 Chin. Phys. Lett. 20 799
[7]	Balili R, Hartwell V, Snoke D, Pfeiffer L and West K 2007 Science 316 1007
[8]	Demokritov S O, Demidov V E, Dzyapko O, Melkov G A, Serga A A, Hillebrands B and Slavin A N 2006 Nature 443 430
[9]	Ortiz G and Dukelsky J 2005 Phys. Rev. A 72 043611
[10]	Li S C and Duan W S 2009 Chin. Phys. B 18 4177
[11]	Zhou L, Kong L B and Zhan M S 2008 Chin. Phys. B 17 1601
[12]	Klaers J, Schmitt J, Vewinger F and Weitz M 2010 Nature 468 545
[13]	Lamb W E and Retherford R C 1947 Phys. Rev. 72 241
[14]	Bethe H A 1947 Phys. Rev. 72 339
[15]	Lundeen S R and Pipkin F M 1981 Phys. Rev. Lett. 46 232
[16]	Barton G 1974 J. Phys. B 7 2134
[17]	Horak P, Domokos P and Ritsch H 2003 Euro. Phys. Lett. 61 459
[18]	Kleppner D 1981 Phys. Rev. Lett. 47 233
[19]	Ivanov A L and Haug H 1995 Jpn. J. Appl. Phys. Suppl. 34 143
[20]	Walsh J E 1971 Phys. Rev. Lett. 27 208
[21]	Lach G, Jeziorski B and Szalewicz K 2004 Phys. Rev. Lett. 92 233001
[22]	Klaers J, Vewinger F and Weitz M 2010 Nature Phys. 6 512
[23]	Pitaevskii L and Stringari S 2003 Bose-Einstein Condensation (New York: Oxford University Press) pp. 27-30
[24]	Bogoliubov N 1947 J. Phys., U.S.S.R 11 23
[25]	Pines D 1961 The Many-Body Problem (New York: Benjamin)
[26]	Pitaevskii L and Stringari S 2003 Bose-Einstein Condensation (New York: Oxford University Press) pp. 36,37
[27]	Welton T A 1948 Phys. Rev. 74 1157
[28]	Milonni P W 1982 Phys. Rev. A 25 1315
[29]	Drake G W F and Swainson R A 1990 Phys. Rev. A 41 1243
[30]	Grotch H 1988 Phys. Scr. T21 86
[31]	Cheng Z 2002 J. Opt. Soc. Am. B 19 1962
[32]	Leggett A J 2001 Rev. Mod. Phys. 73 307

Temperature dependence of the energy-level shift induced by the Bose–Einstein condensation of photons

Temperature dependence of the energy-level shift induced by the Bose–Einstein condensation of photons

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 32

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Yi Qin(秦毅), Xiao-Yang Shen(沈晓阳), Wei-Xuan Chang(常炜玄), and Lin Xia(夏林). Space continuous atom laser in one dimension[J]. 中国物理B, 2023, 32(1): 13701-013701.
[2]	Hui-Fang Wang(王慧芳), Jin-Jun Zhang(张进军), and Jian-Jun Zhang(张建军). Classical-field description of Bose-Einstein condensation of parallel light in a nonlinear optical cavity[J]. 中国物理B, 2021, 30(11): 110301-110301.
[3]	Yi Qin(秦毅), Xiaoyang Shen(沈晓阳), and Lin Xia(夏林). One-dimensional atom laser in microgravity[J]. 中国物理B, 2021, 30(11): 110306-110306.
[4]	Kamran Ullah. Electro-optomechanical switch via tunable bistability and four-wave mixing[J]. 中国物理B, 2019, 28(11): 114209-114209.
[5]	张建军, 王慧芳, 候俊华. Enhanced second harmonic generation in a two-dimensional optical micro-cavity[J]. 中国物理B, 2018, 27(3): 34207-034207.
[6]	肖端亮, 赖梦云, 潘孝胤. Effects of a finite number of particles on the thermodynamic properties of a harmonically trapped ideal charged Bose gas in a constant magnetic field[J]. 中国物理B, 2016, 25(1): 10307-010307.
[7]	郭玉杰, 聂文杰. Vacuum induced transparency and slow light phenomena in a two-level atomic ensemble controlled by a cavity[J]. 中国物理B, 2015, 24(9): 94205-094205.
[8]	吕昊, 朱少兵, 钱军, 王育竹. Spin-orbit coupled Bose-Einstein condensates with Rydberg-dressing interaction[J]. 中国物理B, 2015, 24(9): 90308-090308.
[9]	卢海昌, 翟跃阳, 潘睿智, 杨仕锋. An effective method of accelerating Bose gases using magnetic coils[J]. , 2014, 23(9): 93701-093701.
[10]	海莲, 谭磊, 冯金山, 徐文斌, 王彬. Single photon transport properties in coupled cavity arrays nonlocally coupled to a two-level atom in the presence of dissipation[J]. 中国物理B, 2014, 23(2): 24202-024202.
[11]	邹红梅, 方卯发, 杨百元. The squeezing dynamics of two independent atoms by detuning in two non-Markovian environments[J]. 中国物理B, 2013, 22(12): 120303-120303.
[12]	卢道明. Influence of selective atomic measurement on the entanglement properties of a two-atom outside cavity[J]. 中国物理B, 2011, 20(3): 30301-030301.
[13]	李路明, 胡振燕, 罗斌, 郭弘. The breaking point between fast- and slow-light in adegenerate two-level atomic system[J]. 中国物理B, 2010, 19(6): 64206-064206.
[14]	王海军, 高云峰. Effect of cavity dissipation on the emission spectrum of an atom interacting with a field in the dispersive approximation[J]. 中国物理B, 2010, 19(1): 14209-014209.
[15]	徐勋卫, 刘念华. Effects of an applied low frequency field on the dynamics of a two-level atom interacting with a single-modefield[J]. 中国物理B, 2010, 19(1): 14210-014210.