非马尔可夫环境下经典场驱动Jaynes-Cummings模型中原子的熵压缩

蔡诚俊; 方卯发; 肖兴; 黄江

doi:10.7498/aps.61.210303

摘要

运用非马尔可夫量子理论与熵压缩理论, 研究了非马尔可夫环境下经典场驱动Jaynes-Cummings模型中原子的熵压缩, 考察了非马尔可夫效应、经典场驱动、体系失谐量对原子熵压缩的影响. 用非马尔可夫过程的记忆效应解释了原子熵压缩的动力学行为. 结果表明: 非马尔可夫效应和经典场驱动的共同作用有利于原子熵压缩的产生与维持. 在非马尔可夫环境下, 通过选择适当的系统参数, 可以产生压缩度大、压缩持续时间长的原子熵压缩态. 研究结果为利用光场-原子相互作用制备压缩度大、压缩持续时间长的最佳原子压缩态提供了可能途径.

关键词:

Abstract

The atomic entropy squeezing of the Jaynes-Cummings model driven by classical fields in non-Markovian environment is investigated according to the non-Markovian quantum theory and the entropy squeezing theory. Our attention is focused on the influences of the non-Markovian effects, the Rabi frequencys of classical fields and the detuning on the atomic entropy squeezing. And we explain the atomic entropy squeezing dynamic by the memory effects of the non-Markovian processes. It is found that the atomic entropy squeezing can be maintained for a long time when both the Rabi frequencys of classical fields and the non-Markovian effect are present simultaneously. And we can obtain the optimal squeezing states by choosing appropriate parameters of the Rabi frequency and the detuning of classical field. Our results provide a potential method of generating high-degree squeezed and longtime atomic squeezing states by controlling the atom-field interaction.

Keywords:

作者及机构信息

1.
湖南师范大学物理与信息科学学院, 长沙 410081;

2.
赣南师范学院物理与电子信息学院, 赣州 341000

基金项目: 国家自然科学基金(批准号: 11074072)资助的课题.

Authors and contacts

1.
Department of Physics, Hunan Normal University, Changsha 410081, China;

2.
College of Physics and Electronics, Gannan Normal University, Ganzhou 341000, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11074072).

参考文献

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[11]	Ban M, Kitajima S, Shibata F 2005 J. Phys. A: Math. Gen. 38 7161
[12]	Xiao X, Fang M F, Li Y L 2010 J. Phys. B: At. Mol. Opt. Phys. 43 185505
[13]	Xiao X, Fang M F, Li Y L 2011 Phys. Scr. 83 015013
[14]	Sorensen J L, Hald J, Polzik E S 1998 Phys. Rev. Lett. 80 3487
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[16]	Ye J, Kimble H J, Katori H 2008 Science 320 1734
[17]	Ban M 2000 J. Opt. B: Quantum Semiclass. Opt. 27 19
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[21]	Zhou L, Kuang L M 2002 Phys. Lett. A 302 273
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[23]	Ralph T C 2000 Phys. Rev. A 61 010303R
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施引文献

[1]	Breuer H P, Burgarth D, Petruccione F 2004 Phys. Rev. B 70 045323
[2]	Fischer J, Breuer H P 2007 Phys. Rev. A 76 052119
[3]	Breuer H P, Laine E M, Piilo J 2009 Phys. Rev. Lett. 103 210401
[4]	Maniscalco S, Francica F, Zaffino R L, Gullo N L, Plastina F 2008 Phys. Rev. Lett. 100 090503
[5]	Scala M, Militello B, Messina A, Maniscalco S, Piilo J, Suominen K A 2008 Phys. Rev. A 77 043827
[6]	Piilo J, Maniscalco S, Härkönen, Suominen K A 2008 Phys. Rev. Lett. 100 180402
[7]	Bellomo B, Franco R L, Compagno G 2007 Phys. Rev. Lett. 99 160502
[8]	Bellomo B, Franco R L, Compagno G 2008 Phys. Rev. A 77 032342
[9]	Mazzola L, Maniscalco S, Piilo J, Suominen K A, Garraway B M 2009 Phys. Rev. A 79 042302
[10]	Mazzola L, Maniscalco S, Piilo J, Suominen K A, Garraway B M 2006 Phys. Rev. A 80 012104
[11]	Ban M, Kitajima S, Shibata F 2005 J. Phys. A: Math. Gen. 38 7161
[12]	Xiao X, Fang M F, Li Y L 2010 J. Phys. B: At. Mol. Opt. Phys. 43 185505
[13]	Xiao X, Fang M F, Li Y L 2011 Phys. Scr. 83 015013
[14]	Sorensen J L, Hald J, Polzik E S 1998 Phys. Rev. Lett. 80 3487
[15]	Wineland D J, Bollinger J J, Itano W M 1994 Phys. Rev. A 50 67
[16]	Ye J, Kimble H J, Katori H 2008 Science 320 1734
[17]	Ban M 2000 J. Opt. B: Quantum Semiclass. Opt. 27 19
[18]	Ban M 2000 J. Opt. B: Quantum Semiclass. Opt. 27 86
[19]	Kuang L M, Zeng A H, Kuang Z H 2003 Phys. Lett. A 319 24
[20]	Wu Y, Yang X X 1997 Phys. Rev. Lett. 78 3086
[21]	Zhou L, Kuang L M 2002 Phys. Lett. A 302 273
[22]	Hillery M 2000 Phys. Rev. A 61 022309
[23]	Ralph T C 2000 Phys. Rev. A 61 010303R
[24]	Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) pp501-607
[25]	Furusawa A, Sorensen J L, Braunstein S L, Fuchs C A, Kimble H J, Polzik E S 1998 Science 282 706
[26]	Dong C H 2001 Acta Phys. Sin. 50 1058 (in Chinese) [董传华 2001 物理学报 50 1058]
[27]	Tian Y H, Peng J S 1999 Acta Phys. Sin. 48 2060 (in Chinese) [田永红, 彭金生 1999 物理学报 48 2060]
[28]	Fang M F, Zhou P, Swain S 2000 J. Mod. Opt. 47 1043
[29]	Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[30]	Ge G Q, Luo X L, Wu Y, Li Z G 1996 Phys. Rev. A 54 1604
[31]	Breuer H P, Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press) p472

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