Quantum entanglement dynamics based oncomposite quantum collision model

doi:10.1088/1674-1056/ab84d0

中国物理B ›› 2020, Vol. 29 ›› Issue (6): 60302-060302.doi: 10.1088/1674-1056/ab84d0

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Quantum entanglement dynamics based oncomposite quantum collision model

Xiao-Ming Li(李晓明), Yong-Xu Chen(陈勇旭), Yun-Jie Xia(夏云杰), Qi Zhang(张琦), Zhong-Xiao Man(满忠晓)

School of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, China

收稿日期:2020-01-06 修回日期:2020-03-05 出版日期:2020-06-05 发布日期:2020-06-05
通讯作者: Yun-Jie Xia, Zhong-Xiao Man E-mail:yjxia@qfnu.edu.cn;zxman@qfnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61675115 and 11974209), the Taishan Scholar Project of Shandong Province of China (Grant No. tsqn201812059), and the Shandong Provincial Natural Science Foundation of China (Grant No. ZR2016JL005).

Quantum entanglement dynamics based oncomposite quantum collision model

Xiao-Ming Li(李晓明), Yong-Xu Chen(陈勇旭), Yun-Jie Xia(夏云杰), Qi Zhang(张琦), Zhong-Xiao Man(满忠晓)

School of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, China

Received:2020-01-06 Revised:2020-03-05 Online:2020-06-05 Published:2020-06-05
Contact: Yun-Jie Xia, Zhong-Xiao Man E-mail:yjxia@qfnu.edu.cn;zxman@qfnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61675115 and 11974209), the Taishan Scholar Project of Shandong Province of China (Grant No. tsqn201812059), and the Shandong Provincial Natural Science Foundation of China (Grant No. ZR2016JL005).

摘要/Abstract

摘要：

By means of composite quantum collision models, we study the entanglement dynamics of a bipartite system, i.e., two qubits S₁ and S₂ interacting directly with an intermediate auxiliary qubit S_A, while S_A is in turn coupled to a thermal reservoir. We are concerned with how the intracollisions of the reservoir qubits influence the entanglement dynamics. We show that even if the system is initially in the separated state, their entanglement can be generated due to the interaction between the qubits. In the long-time limit, the steady-state entanglement can be generated depending on the initial state of S₁ and S₂ and the environment temperature. We also study the dynamics of tripartite entanglement of the three qubits S₁, S₂, and S_A when they are initially prepared in the GHZ state and separated state, respectively. For the GHZ initial state, the tripartite entanglement can be maintained for a long time when the collision strength between the environment qubits is sufficiently large.

关键词: entanglement dynamics, steady-state entanglement, collision model

Abstract:

Key words: entanglement dynamics, steady-state entanglement, collision model

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.65.Yz (Decoherence; open systems; quantum statistical methods)

李晓明, 陈勇旭, 夏云杰, 张琦, 满忠晓. Quantum entanglement dynamics based oncomposite quantum collision model[J]. 中国物理B, 2020, 29(6): 60302-060302.

Xiao-Ming Li(李晓明), Yong-Xu Chen(陈勇旭), Yun-Jie Xia(夏云杰), Qi Zhang(张琦), Zhong-Xiao Man(满忠晓). Quantum entanglement dynamics based oncomposite quantum collision model[J]. Chin. Phys. B, 2020, 29(6): 60302-060302.

参考文献 43

[1]	Bennett C H and DiVincenzo D P 2000 Nature 404 247 doi: 10.1038/35005001
[2]	Nielsen M A and Chuang I L 2000 (Cambridge: Cambridge University Press)
[3]	Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and Wootters K W 1993 Phys. Rev. Lett. 70 1895 doi: 10.1103/PhysRevLett.70.1895
[4]	Jennewein T, Weihs G, Pan J W and Zeilinger A 2001 Phys. Rev. Lett. 88 017903 doi: 10.1103/PhysRevLett.88.017903
[5]	Ekert A K 1991 Phys. Rev. Lett. 67 661 doi: 10.1103/PhysRevLett.67.661
[6]	Yu T and Eberly J H 2006 Opt. Commun. 264 393 doi: 10.1016/j.optcom.2006.01.061
[7]	André G S L and George E A M 2009 Phys. Rev. A 80 032315 doi: 10.1103/PhysRevA.80.032315
[8]	Yönaç M, Yu T and Eberly J H 2006 J. Phys. B 39 S621
[9]	Yu T and Eberly J H 2009 Science. 323 598 doi: 10.1126/science.1167343
[10]	Yönaç M, Yu T and Eberly J H 2007 J. Phys. B 40 S45
[11]	Roszak K, Horodecki P and Horodecki R 2010 Phys. Rev. A 81 042308 doi: 10.1103/PhysRevA.81.042308
[12]	Sainz I and Björk G 2007 Phys. Rev. A 76 042313 doi: 10.1103/PhysRevA.76.042313
[13]	Chen L, Shao X Q and Zhang S 2009 Chin. Phys. B 18 4676 doi: 10.1088/1674-1056/18/11/011
[14]	Sadiek G, Al-drees W and Abdallah M S 2019 Opt. Express 27 33799 doi: 10.1364/OE.27.033799
[15]	Ma X S, Wang A M, Yang X D and Xu F 2006 Eur. Phys. J. D 37 135 doi: 10.1140/epjd/e2005-00247-9
[16]	Pan C N, Li F, Fang J S and Fang M F 2011 Chin. Phys. B 20 020304 doi: 10.1088/1674-1056/20/2/020304
[17]	Zhang Y J, Man Z X, Zou X B, Xia Y J and Guo G C 2010 J. Phys. B: At. Mol. Opt. Phys. 43 045502 doi: 10.1088/0953-4075/43/4/045502
[18]	Sainz I, Klimov A B and Roa L 2006 Phys. Rev. A 73 032303 doi: 10.1103/PhysRevA.73.032303
[19]	Man Z X and Xia Y J 2008 Chin. Phys. B 17 3198 doi: 10.1088/1674-1056/17/9/008
[20]	Goold J, Huber M, Riera A, del Rio L and Skrzypczyk P 2016 J. Phys. A: Math. Theor. 49 143001 doi: 10.1088/1751-8113/49/14/143001
[21]	Arnesen M C, Bose S and Vedral V 2001 Phys. Rev. Lett. 87 017901 doi: 10.1103/PhysRevLett.87.017901
[22]	Sinaysky I, Petruccione F and Burgarth D 2008 Phys. Rev. A 78 062301 doi: 10.1103/PhysRevA.78.062301
[23]	Rau J 1963 Phys. Rev. 129 1880 doi: 10.1103/PhysRev.129.1880
[24]	Bernardes N K, Carvalho A R R, Monken C H and Santos M F 2017 Phys. Rev. A 95 032117 doi: 10.1103/PhysRevA.95.032117
[25]	McCloskey R and Paternostro M 2014 Phys. Rev. A 89 052120 doi: 10.1103/PhysRevA.89.052120
[26]	Man Z X, Xia Y J and Franco R L 2018 Phys. Rev. A 97 062104 doi: 10.1103/PhysRevA.97.062104
[27]	Zhang Q, Man Z X and Xia Y J 2019 Phys. Lett. A 383 2456 doi: 10.1016/j.physleta.2019.05.002
[28]	Lorenzo S, Ciccarello F and Palma G M 2017 Phys. Rev. A 96 032107 doi: 10.1103/PhysRevA.96.032107
[29]	Kretschmer S, Luoma K and Strunz W T 2016 Phys. Rev. A 94 012106 doi: 10.1103/PhysRevA.94.012106
[30]	Ciccarello F, Palma G M and Giovannetti V 2013 Phys. Rev. A 87 040103(R)
[31]	Lorenzo S, Ciccarello F and Palma G M 2016 Phys. Rev. A 93 052111 doi: 10.1103/PhysRevA.93.052111
[32]	De Chiara G, Landi G, Hewgill A, Reid B, Ferraro A, Roncaglia A J and Antezza M 2018 New J. Phys. 20 113024 doi: 10.1088/1367-2630/aaecee
[33]	Man Z X, Xia Y J and Franco R L 2019 Phys. Rev. A 99 042106 doi: 10.1103/PhysRevA.99.042106
[34]	Tavis M and Cunnings F W 1968 Phys. Rev. 170 379 doi: 10.1103/PhysRev.170.379
[35]	Scarani V, Ziman M, Štelmachovič P, Gisin N and Bužek V 2002 Phys. Rev. Lett. 88 097905 doi: 10.1103/PhysRevLett.88.097905
[36]	Hill S and Wootters W K 1997 Phys. Rev. Lett. 78 5022 doi: 10.1103/PhysRevLett.78.5022
[37]	Wootters W K 1998 Phys. Rev. Lett. 80 2245 doi: 10.1103/PhysRevLett.80.2245
[38]	Audenaert K, Plenio M B and Eisert J 2003 Phys. Rev. Lett. 90 027901 doi: 10.1103/PhysRevLett.90.027901
[39]	Guo J, Wei Z F and Zhang S Y 2016 Chin. Phys. B 25 020302 doi: 10.1088/1674-1056/25/2/020302
[40]	Hashemi Rafsanjani S M and Eberly J H 2015 Phys. Rev. A 91 012313 doi: 10.1103/PhysRevA.91.012313
[41]	Wang F and Qiu J 2014 Chin. Phys. B 23 044203 doi: 10.1088/1674-1056/23/4/044203
[42]	Hashemi Rafsanjani S M, Huber M, Broadbent C J and Eberly J H 2012 Phys. Rev. A 86 062303 doi: 10.1103/PhysRevA.86.062303
[43]	Campbell S, Ciccarello F, Palma G M and Vacchini B 2018 Phys. Rev. A 98 012142 doi: 10.1103/PhysRevA.98.012142

Quantum entanglement dynamics based oncomposite quantum collision model

Quantum entanglement dynamics based oncomposite quantum collision model

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