结构库中二能级原子与自发辐射场间的纠缠演化

李浩珍; 谢双媛; 许静平; 羊亚平

doi:10.7498/aps.63.124201

摘要

利用量子约化熵对比研究了真空、一维腔、各向同性以及各向异性光子晶体四种不同结构库中二能级原子与自发辐射场间的纠缠演化特性. 研究表明，原子-光场纠缠的演化特性与原子所处结构库的模密度分布密切相关. 在真空和一维腔中，模密度随频率连续变化，原子-光场纠缠将最终衰减至零. 而在各向同性和各向异性光子晶体中，模密度中存在光子禁带，原子-光场纠缠能最终趋于稳态值. 可以通过改变原子所处结构库的模密度来控制原子-光场纠缠的演化特性.

关键词:

纠缠 /
量子约化熵 /
结构库 /
模密度

Abstract

The time evolutions of the entanglement between a two-level atom and its spontaneous emission field in free space, cavity, isotropic and anisotropic photonic crystal are studied by using quantum entropy. It is found that the evolution properties of the atom-field entanglement are directly related to the nature of the structured reservoir,specifically, to the distribution of the density of modes. In free space and cavity, as the density of the modes varies smoothly with frequency, the atom-field entanglement decays to zero in a finite time. However in an isotropic and anisotropic photonic crystal, the atom-field entanglement can keep steady due to the existence of a photonic band gap in the density of the modes. Thus, we can control the time evolution of the entanglement between the atom and its spontaneous emission field by changing the density of the modes of the structured reservoirs.

Keywords:

作者及机构信息

1.
同济大学物理科学与工程学院, 先进微结构材料教育部重点实验室, 上海 200092

基金项目: 国家自然科学基金（批准号：11074188，91021012，11274242）、国家重点基础研究发展计划（批准号：2011CB922203）和中央高校基本科研业务费资助的课题.

Authors and contacts

1.
Key Laboratory of Advanced Micro-Structured Materials of Ministry of Education, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074188, 91021012, 11274242), the National Basic Research Program of China (Grant No. 2011CB922203), and the Fundamental Research Fund for the Central Universities, China.

参考文献

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[13]	Zhang Q, Li F L, Li H R 2006 Acta Phys. Sin. 55 2275 (in Chinese)[张茜, 李福利, 李宏荣 2006 55 2275]
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[22]	Zhang Y J, Yang X Q, Han W, Xia Y J 2013 Chin. Phys. B 22 090307
[23]	Cui C C, Xie S Y, Yang Y P 2012 Acta Phys. Sin. 61 124206 (in Chinese)[崔丛丛, 谢双媛, 羊亚平 2012 61 124206]
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[27]	Fang M F, Zhu S Y 2006 Physica A 369 475
[28]	Xie S Y, Hu X 2010 Acta Phys. Sin. 59 6172 (in Chinese)[谢双媛, 胡翔 2010 59 6172]
[29]	Roshan Entezar S 2009 Phys Lett. A 373 3413
[30]	Cheng Q L, Xie S Y, Yang Y P 2008 Acta Phys. Sin. 57 6968 (in Chinese) [成秋丽, 谢双媛, 羊亚平 2008 57 6968]
[31]	Zhang L H, Li G X, Gan Z W 2003 Acta Phys. Sin. 52 1168 (in Chinese) [张立辉, 李高翔, 甘仲惟 2003 52 1168]
[32]	Wang C Z, Fang M F 2002 Acta Phys. Sin. 51 1989 (in Chinese) [王成志, 方卯发 2002 51 1989]
[33]	Wooters W K 1998 Phys. Rev. Lett. 80 2245
[34]	Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) p101
[35]	Vidal G, Werner R F 2002 Phys. Rev. A 65 032314
[36]	Phoenix S J D, Knight P L 1988 Ann. Phys. 186 381
[37]	Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023
[38]	Phoenix S J D, Knight P L 1991 Phys. Rev. Lett. 66 2833
[39]	Araki H, Lieb E 1970 Commum. Math. Phys. 18 160

施引文献

[1]	Purcell E M 1946 Phys. Rev. 69 681
[2]	Kleppner D 1981 Phys. Rev. Lett. 47 233
[3]	Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[4]	John S 1987 Phys. Rev. Lett. 58 2486
[5]	John S, Quang T 1995 Phys. Rev. Lett. 74 3419
[6]	John S, Wang J 1991 Phys. Rev. B 43 12772
[7]	John S, Quang T 1994 Phys. Rev. A 50 1764
[8]	John S, Wang J 1990 Phys. Rev. Lett. 64 2418
[9]	Yang Y P, Zhu S Y 2000 Phys. Rev. A 61 043809
[10]	Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805
[11]	Lambropoulos P, Nikolopoulos G M, Nielsen T R, Bay S 2000 Rep. Prog. Phys. 63 455
[12]	Zheng Y Z, Dai L Y, Guo G C 2003 Acta Phys. Sin. 52 2678 (in Chinese)[郑亦庄, 戴玲玉, 郭光灿 2003 52 2678]
[13]	Zhang Q, Li F L, Li H R 2006 Acta Phys. Sin. 55 2275 (in Chinese)[张茜, 李福利, 李宏荣 2006 55 2275]
[14]	Zhang J X, Dong R F, Xie C D 2001 Physics 30 43 (in Chinese) [张俊香, 董瑞芳, 谢常德 2001 物理 30 43]
[15]	Pereira S F, Ou Z Y, Kimble H J 2000 Phys. Rev. A 62 042311
[16]	Grover L K 1997 Phys. Rev. Lett. 79 325
[17]	Su X L, Jia X J, Xie C D, Peng K C 2010 Physics 39 746 (in Chinese) [苏晓龙, 贾晓军, 谢常德, 彭堃墀 2010 物理 39 746]
[18]	Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[19]	Han F, Xia Y J 2009 Chin. Phys. B 18 5144
[20]	Wang F Q, Zhang Z M, Liang R S 2008 Phys. Rev. A 78 042320
[21]	Bellomo B, Franco R L, Maniscalco S, Compagno G 2008 Phys. Rev. A 78 060302
[22]	Zhang Y J, Yang X Q, Han W, Xia Y J 2013 Chin. Phys. B 22 090307
[23]	Cui C C, Xie S Y, Yang Y P 2012 Acta Phys. Sin. 61 124206 (in Chinese)[崔丛丛, 谢双媛, 羊亚平 2012 61 124206]
[24]	Cummings N I, Hu B L 2008 Phys. Rev. A 77 053823
[25]	Lazarou C, Luoma K, Maniscalco S, Piilo J, Garraway B M 2012 Phys. Rev. A 86 012331
[26]	Guo L, Liang X T 2009 Acta Phys. Sin. 58 50 (in Chinese)[郭亮, 梁先庭 2009 58 50]
[27]	Fang M F, Zhu S Y 2006 Physica A 369 475
[28]	Xie S Y, Hu X 2010 Acta Phys. Sin. 59 6172 (in Chinese)[谢双媛, 胡翔 2010 59 6172]
[29]	Roshan Entezar S 2009 Phys Lett. A 373 3413
[30]	Cheng Q L, Xie S Y, Yang Y P 2008 Acta Phys. Sin. 57 6968 (in Chinese) [成秋丽, 谢双媛, 羊亚平 2008 57 6968]
[31]	Zhang L H, Li G X, Gan Z W 2003 Acta Phys. Sin. 52 1168 (in Chinese) [张立辉, 李高翔, 甘仲惟 2003 52 1168]
[32]	Wang C Z, Fang M F 2002 Acta Phys. Sin. 51 1989 (in Chinese) [王成志, 方卯发 2002 51 1989]
[33]	Wooters W K 1998 Phys. Rev. Lett. 80 2245
[34]	Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) p101
[35]	Vidal G, Werner R F 2002 Phys. Rev. A 65 032314
[36]	Phoenix S J D, Knight P L 1988 Ann. Phys. 186 381
[37]	Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023
[38]	Phoenix S J D, Knight P L 1991 Phys. Rev. Lett. 66 2833
[39]	Araki H, Lieb E 1970 Commum. Math. Phys. 18 160

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