玻色-爱因斯坦凝聚系统的量子Fisher信息与混沌

宋立军; 严冬; 刘烨

doi:10.7498/aps.60.120302

摘要

量子Fisher信息作为经典Fisher信息的自然推广,与量子信息中的纠缠判断具有密切联系.在表现为典型量子混沌特征的受击两分量玻色-爱因斯坦凝聚系统中,研究了与经典相空间对应的纠缠和量子Fisher信息动力学性质. 结果表明,初次撞击后的系统量子态是纠缠的,与初态所处相空间中的混乱程度无关.而量子Fisher信息的动力学演化对系统初态非常敏感,当初态处于混沌区域时,量子Fisher信息值比初态处于规则区域时大.利用这种较好的量子-经典对应关系,得到量子Fisher信息可以刻画量子混沌的结论.

关键词:

Abstract

Quantum Fisher information,derived from the classical Fisher information, is closely related to the quantum entanglement in quantum information. The entanglement and the quantum information which are both associated with the classical phase space are investigated in a two-component Bose-Einstein condensate impacted by the impulses. The results reveal that the states regardless of disorder of the phase space after the first impulse are entangled. However, the quantum information is very sensitive to the state centred in the classical phase space, concretely, the value of the quantum information centred in the chaotic region is greater than in the regular region. By employing the good quantum-classical correspondence, we conclude that the quantum information can serve as a signature of the quantum chaos.

Keywords:

作者及机构信息

1.
长春大学理学院,长春 130022;

2.
长春理工大学理学院,长春 130022

基金项目: 国家自然科学基金(批准号:10947019)、教育部科学技术研究计划重点项目(批准号:211040)、吉林省自然科学基金(批准号:20101514)资助的课题.

Authors and contacts

1.
School of Science, Changchun University, Changchun 130022, China;

2.
School of Science, Changchun University of Science and Technology, Changchun 130022, China

参考文献

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施引文献

[1]	Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2]
[3]	Davis K B, Mewes M O, Andrews M R, van Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[4]
[5]	Smerzi A, Fantoni S 1997 Phys. Rev. Lett. 78 3589
[6]
[7]	Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003 (in Chinese) [王冠芳、傅立斌、赵鸿、刘杰 2005 54 5003]
[8]
[9]	Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 93 074101
[10]	Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
[11]
[12]	Fang Y C, Yang Z A, Yang L Y 2008 Acta Phys. Sin. 57 661 (in Chinese) [房永翠、杨志安、杨丽云 2008 57 661]
[13]
[14]
[15]	Furuya K, Nemes M C, Pellegrino G Q 1998 Phys. Rev. Lett. 80 5524
[16]	Wang X G, Ghose S, Sanders B C, Hu B 2004 Phys. Rev. E 70 016217
[17]
[18]
[19]	Hou X W, Chen J H, Hu B 2005 Phys. Rev. A 71 034302
[20]
[21]	Emerson J, Weinstein Y S, Lloyd S, Cory D G 2002 Phys. Rev. Lett. 89 284102
[22]	Weinstein Y S, Hellberg C S 2005 Phys. Rev. E 71 016209
[23]
[24]
[25]	Zhang Y J, Xia Y J, Ren T Q, Du X M, Liu Y L 2009 Acta Phys. Sin. 58 722 (in Chinese) [张英杰、夏云杰、任延琦、杜秀梅、刘玉玲 2009 58 722]
[26]
[27]	Guo L, Liang X T 2009 Acta Phys. Sin. 58 50 (in Chinese) [郭亮、梁先庭2009 58 50]
[28]	Meng S Y, Wu W 2009 Acta Phys. Sin. 58 5311 (in Chinese) [孟少英、吴炜 2009 58 5311]
[29]
[30]
[31]	Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2006 Phys. Lett. A 353 216
[32]	Gorin T, Prosen T, Seligman T H, Znidaric M 2006 Phys. Rep. 435 33
[33]
[34]	Song L J, Wang X G, Yan D, Zong Z G 2006 J. Phys. B 39 559
[35]
[36]	Song L J, Yan D, Ma J, Wang X G 2009 Phys. Rev. E 79 046220
[37]
[38]
[39]	Yan D, Song L J, Chen D W 2009 Acta Phys. Sin. 58 3679 (in Chinese) [严冬、宋立军、陈殿伟 2009 58 3679]
[40]	Pezz L, Smerzi A 2009 Phys. Rev. Lett. 102 100401
[41]
[42]	Haake F 1991 Quantum Signature of Chaos (Berlin: Springer)
[43]
[44]
[45]	Hall M J W 2000 Phys. Rev. A 62 012107
[46]	Weiss C, Teichmann N 2009 J. Phys. B 42 031001
[47]
[48]	Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic Press)
[49]
[50]	Wineland D J, Bollinger J J, Itano W M, Moore F L, Heinzen D J 1992 Phys. Rev. A 46 R6797
[51]

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