Entanglement properties between two atoms in the binomial optical field interacting with two entangled atoms

doi:10.1088/1674-1056/25/7/070304

中国物理B ›› 2016, Vol. 25 ›› Issue (7): 70304-070304.doi: 10.1088/1674-1056/25/7/070304

Entanglement properties between two atoms in the binomial optical field interacting with two entangled atoms

Tang-Kun Liu(刘堂昆), Kang-Long Zhang(张康隆), Yu Tao(陶宇), Chuan-Jia Shan(单传家), Ji-Bing Liu(刘继兵)

1 College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China;
2 Hubei Engineering Profession Institute, Huangshi 435004, China

收稿日期:2016-01-29 出版日期:2016-07-05 发布日期:2016-07-05
通讯作者: Tang-Kun Liu E-mail:tkliuhs@163.com
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2012CB922103) and the National Natural Science Foundation of China (Grant Nos. 11274104 and 11404108).

Entanglement properties between two atoms in the binomial optical field interacting with two entangled atoms

Tang-Kun Liu(刘堂昆)¹, Kang-Long Zhang(张康隆)^1,2, Yu Tao(陶宇)¹, Chuan-Jia Shan(单传家)¹, Ji-Bing Liu(刘继兵)¹

1 College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China;
2 Hubei Engineering Profession Institute, Huangshi 435004, China

Received:2016-01-29 Online:2016-07-05 Published:2016-07-05
Contact: Tang-Kun Liu E-mail:tkliuhs@163.com
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2012CB922103) and the National Natural Science Foundation of China (Grant Nos. 11274104 and 11404108).

摘要/Abstract

摘要： The temporal evolution of the degree of entanglement between two atoms in a system of the binomial optical field interacting with two arbitrary entangled atoms is investigated. The influence of the strength of the dipole-dipole interaction between two atoms, probabilities of the Bernoulli trial, and particle number of the binomial optical field on the temporal evolution of the atomic entanglement are discussed. The result shows that the two atoms are always in the entanglement state. Moreover, if and only if the two atoms are initially in the maximally entangled state, the entanglement evolution is not affected by the parameters, and the degree of entanglement is always kept as 1.

关键词: quantum optics, quantum entanglement, binomial optical field, negative eigenvalue

Abstract: The temporal evolution of the degree of entanglement between two atoms in a system of the binomial optical field interacting with two arbitrary entangled atoms is investigated. The influence of the strength of the dipole-dipole interaction between two atoms, probabilities of the Bernoulli trial, and particle number of the binomial optical field on the temporal evolution of the atomic entanglement are discussed. The result shows that the two atoms are always in the entanglement state. Moreover, if and only if the two atoms are initially in the maximally entangled state, the entanglement evolution is not affected by the parameters, and the degree of entanglement is always kept as 1.

Key words: quantum optics, quantum entanglement, binomial optical field, negative eigenvalue

中图分类号: (Quantum mechanics)

03.65.-w

03.67.-a (Quantum information)

刘堂昆, 张康隆, 陶宇, 单传家, 刘继兵. Entanglement properties between two atoms in the binomial optical field interacting with two entangled atoms[J]. 中国物理B, 2016, 25(7): 70304-070304.

Tang-Kun Liu(刘堂昆), Kang-Long Zhang(张康隆), Yu Tao(陶宇), Chuan-Jia Shan(单传家), Ji-Bing Liu(刘继兵). Entanglement properties between two atoms in the binomial optical field interacting with two entangled atoms[J]. Chin. Phys. B, 2016, 25(7): 70304-070304.

参考文献 30

[1]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (London: Cambridge Univ. Press)
[2]	Plenio M B and Vedral V 1998 Phys. Rev. A 57 1619
[3]	Cirac J I and Zoller P 1995 Phys. Rev. Lett. 74 381
[4]	Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[5]	Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2882
[6]	Phoenix S J D and Kinght P L 1988 Ann. Phys. 186 381
[7]	Wu Y and Yang X X 1997 Phys. Rev. A 56 2443
[8]	Wu Y 1996 Phys. Rev. A 54 1586
[9]	Fang M F and Zhou G H 1994 Phys. Lett. A 184 397
[10]	Liu X J and Fang M F 2002 Chin. Phys. 11 926
[11]	Liu X J and Fang M F 2003 Chin. Phys. 12 971
[12]	Liu T K, Wang J S, Feng J and Zhan M S 2004 Chin. Phys. 13 0497
[13]	Liu T K, Wang J S, Feng J and Zhan M S 2005 Chin. Phys. 14 0536
[14]	Liu T K 2006 Chin. Phys. 15 0542
[15]	Liu T K 2007 Chin. Phys. 16 3396
[16]	Knöll L and Orlowski A 1995 Phys. Rev. A 51 1622
[17]	Liu T K, Wang J S, Liu X J and Zhan M S 2000 Acta Phys. Sin. 49 708 (in Chinese)
[18]	Jozsa R 1994 J. Mod. Opt. 41 2315
[19]	Liu T K, Wang J S, Liu X J and Zhan M S 2000 Acta Opt. Sin. 20 1449 (in Chinese)
[20]	Vidal G and Wemer R F 2002 Phys. Rev. A 65 032314
[21]	Liu T K, Cheng W W, Shan C J, Gao Y F and Wang J S 2007 Chin. Phys. 16 3697
[22]	Wei T C and Nemoto K 2003 Phys. Rev. A 67 022110
[23]	Verstraete F, Audenaert K and Moor B D 2001 Phys. Rev. A 64 012316
[24]	Xiong H N, Guo H, Jiang J, Chen J and Tang L Y 2006 Acta Phys. Sin. 55 2720 (in Chinese)
[25]	Van Enk S J and Hirota O 2001 Phys. Rev. A 64 022313
[26]	Wang X G 2002 Phys. A Math. Gen. 35 165
[27]	Xia Y J and Guo G C 2004 Chin. Phys. Lett. 21 1877
[28]	Zhang X Y and Wang J S 2011 Acta Phys. Sin. 60 090304 (in Chinese)
[29]	Wu P P, Shan C J and Liu T K 2015 Int. J. Theor. Phys. 54 1352
[30]	Lee J and Kim M S 2000 Phys. Rev. Lett. 84 4236

Entanglement properties between two atoms in the binomial optical field interacting with two entangled atoms

Entanglement properties between two atoms in the binomial optical field interacting with two entangled atoms

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