Entanglement dynamics of a moving multi-photon Jaynes–Cummings model in mixed states

doi:10.1088/1674-1056/20/7/070303

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70303-070303.doi: 10.1088/1674-1056/20/7/070303

Entanglement dynamics of a moving multi-photon Jaynes–Cummings model in mixed states

谭磊¹, 张玉青¹, 朱中华²

(1)Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; (2)Key Laboratory for Magnetism and Magnetic Materials of Ministry of Education, Lanzhou University, Lanzhou 730000, China

收稿日期:2010-10-31 修回日期:2011-03-21 出版日期:2011-07-15 发布日期:2011-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10704031) and the Fundamental Research Funds for the Central Universities of China (Grant No. lzujbky-2010-75).

Entanglement dynamics of a moving multi-photon Jaynes–Cummings model in mixed states

Tan Lei(谭磊)^a)b)†, Zhang Yu-Qing(张玉青)^a), and Zhu Zhong-Hua(朱中华)^b)

^a Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; ^b Key Laboratory for Magnetism and Magnetic Materials of Ministry of Education, Lanzhou University, Lanzhou 730000, China

Received:2010-10-31 Revised:2011-03-21 Online:2011-07-15 Published:2011-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10704031) and the Fundamental Research Funds for the Central Universities of China (Grant No. lzujbky-2010-75).

摘要/Abstract

摘要： Using the algebraic dynamical method, the entanglement dynamics of an atom-field bipartite system in a mixed state is investigated. The atomic center-of-mass motion and the field-mode structure are also included in this system. We find that the values of the detuning and the average photon number are larger, the amplitude of the entanglement is smaller, but its period does not increase accordingly. Moreover, with the increase of the field-mode structure parameter and the transition photon number, the amplitude of the entanglement varies slightly while the oscillation becomes more and more fast. Interestingly, a damping evolution of the entanglement appears when both the detuning and the atomic motion are considered simultaneously.

Abstract: Using the algebraic dynamical method, the entanglement dynamics of an atom-field bipartite system in a mixed state is investigated. The atomic center-of-mass motion and the field-mode structure are also included in this system. We find that the values of the detuning and the average photon number are larger, the amplitude of the entanglement is smaller, but its period does not increase accordingly. Moreover, with the increase of the field-mode structure parameter and the transition photon number, the amplitude of the entanglement varies slightly while the oscillation becomes more and more fast. Interestingly, a damping evolution of the entanglement appears when both the detuning and the atomic motion are considered simultaneously.

Key words: algebraic dynamical method, entanglement, mixed state

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Bg (Entanglement production and manipulation) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

谭磊, 张玉青, 朱中华. Entanglement dynamics of a moving multi-photon Jaynes–Cummings model in mixed states[J]. 中国物理B, 2011, 20(7): 70303-070303.

Tan Lei(谭磊), Zhang Yu-Qing(张玉青), and Zhu Zhong-Hua(朱中华) . Entanglement dynamics of a moving multi-photon Jaynes–Cummings model in mixed states[J]. Chin. Phys. B, 2011, 20(7): 70303-070303.

参考文献 47

[1]	Vaglica A and Vetri G 2007 Phys. Rev. A 75 062120
[2]	Wang Z J, Zhang K and Fan C Y 2010 Chin. Phys. B 19 110311
[3]	Ficek Z and Tanas R 2006 Phys. Rev. A 74 024304
[4]	Zhao L F, Lai B H, Mei F, Yu Y F, Feng X L and Zhang Z M 2010 Chin. Phys. B 19 094207
[5]	Zhang D Y, Tang S Q, Xie L J, Zhan X G, Chen Y H and Gao F 2010 Chin. Phys. B 19 100313
[6]	Vitali D, Gigan S, Ferreira A, Bohm H R, Tombesi P, Guerreiro A, Vedral V, Zeilinger A and Aspelmeyer M 2007 Phys. Rev. Lett. 98 030405
[7]	Zhang Q and Zhang E Y 2002 Acta Phys. Sin. 51 1684
[8]	Ye L and Guo G C 2002 Chin. Phys. 11 996
[9]	Bennett C H, Brassard G, Cr'epeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[10]	Metwally N, Abdelaty M and Obada A S F 2004 Chaos, Solitons and Fractals 22 529
[11]	Wang X W, Liu X and Fang M F 2007 Chin. Phys. 16 1215
[12]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[13]	Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2881
[14]	Yang M, Song W and Cao Z L 2005 Phys. Rev. A 71 034312
[15]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[16]	Bennett C H, Shor P W, Smolin J A and Thapliyal A V 1999 Phys. Rev. Lett. 83 3081
[17]	Chen L B, Jin R B and Lu H 2009 Chin. Phys. B 18 30
[18]	Bennett C H, Bernstein H J, Popescu S and Schumacher B 1996 Phys. Rev. A 53 2046
[19]	Bennett C H, Divincenzo D P, Smolin J A and Wootters W K 1996 Phys. Rev. A 54 3824
[20]	Popescu S and Rohrlich D 1997 Phys. Rev. A 56 3319(R)
[21]	Peres A 1996 Phys. Rev. Lett. 77 1413
[22]	Horodecki M, Horodecki P and Horodecki R 1996 Phys. Lett. A 223 1
[23]	Vidal G and Werner R F 2002 Phys. Rev. A 65 032314
[24]	Vidal G 2000 J. Mod. Opt. 47 355
[25]	Jaynes E T and Cummings F W 1963 Proc. IEEE 51 89
[26]	Zhou L, Song H S and Li C 2002 J. Opt. B 4 425
[27]	Obada A S F, Hessian H A and Mohamed A B A 2007 Opt. Commun. 280 230
[28]	Akhtarshenas S J and Farsi M 2007 Phys. Scr. 75 608
[29]	Zhang J S and Xu J B 2009 Opt. Commun. 282 2543
[30]	Xu H S and Xu J B 2009 Chin. Phys. Lett. 26 010301
[31]	Zhang J S and Xu J B 2009 Chin. Phys. B 18 2288
[32]	Yonddotac M, Yu T and Eberly J H 2007 J. Phys. B 40 S45
[33]	Dur W and Briegel H J 2007 Rep. Prog. Phys. 70 1381
[34]	Wang S J, Li F L and Weiguny A 1993 Phys. Lett. A 180 189
[35]	Jie Q L, Wang S J and Wei L F 1997 J. Phys. A 30 6147
[36]	Schlicher R R 1989 Opt. Commun. 70 97
[37]	Verstraete F and Verschelde H 2003 Phys. Rev. Lett. 90 097901
[38]	Yoddotnac M, Yu T and Eberly J H 2006 J. Phys. B 39 S621
[39]	Yan X Q 2009 Chaos, Solitons and Fractals 41 1645
[40]	Schlosshauer M, Hines A P and Milburn G J 2008 Phys. Rev. A 77 022111
[41]	Cummings N I and Hu B L 2008 Phys. Rev. A 77 053823
[42]	Zidan N A, Abdel-Aty M and Obada A S F 2002 Chaos, Solitons and Fractals 13 1421
[43]	Tumminello M, Vaglica A and Vetri G 2004 Euro. Phys. Lett. 65 785
[44]	Vaglica A and Vetri G 2007 Phys. Rev. A 75 062120
[45]	Yan X Q, Shao B and Zou J 2008 Chaos, Solitons and Fractals 37 835
[46]	Abdel Aty M, Furuichi S and Obada A S F 2002 J. Opt. B 4 37
[47]	Joshi A 2010 Opt. Commun. 283 2166

Entanglement dynamics of a moving multi-photon Jaynes–Cummings model in mixed states

Entanglement dynamics of a moving multi-photon Jaynes–Cummings model in mixed states

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 47

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Qi Sun(孙琪), Tao Li(李陶), Zhi-Xiang Jin(靳志祥), and Deng-Feng Liang(梁登峰). Unified entropy entanglement with tighter constraints on multipartite systems[J]. 中国物理B, 2023, 32(3): 30304-030304.
[2]	Xiao-Qiang Su(苏晓强), Zong-Ju Xu(许宗菊), and You-Quan Zhao(赵有权). Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis[J]. 中国物理B, 2023, 32(2): 20506-020506.
[3]	Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳). Transformation relation between coherence and entanglement for two-qubit states[J]. 中国物理B, 2023, 32(1): 10304-010304.
[4]	Jia-Wei Ying(应佳伟), Lan Zhou(周澜), Wei Zhong(钟伟), and Yu-Bo Sheng(盛宇波). Measurement-device-independent one-step quantum secure direct communication[J]. 中国物理B, 2022, 31(12): 120303-120303.
[5]	Ye-Qi Zhang(张业奇), Xiao-Ting Ding(丁潇婷), Jiao Sun(孙娇), and Tian-Hu Wang(王天虎). Quantum steerability of two qubits mediated by one-dimensional plasmonic waveguides[J]. 中国物理B, 2022, 31(12): 120305-120305.
[6]	Ying-Yue Yang(杨颖玥), Li-Juan Li(李丽娟), Liu Ye(叶柳), and Dong Wang(王栋). Quantum correlation and entropic uncertainty in a quantum-dot system[J]. 中国物理B, 2022, 31(10): 100303-100303.
[7]	Xing-Xing Ju(居星星), Wei Zhong(钟伟), Yu-Bo Sheng(盛宇波), and Lan Zhou(周澜). Measurement-device-independent quantum secret sharing with hyper-encoding[J]. 中国物理B, 2022, 31(10): 100302-100302.
[8]	Hengji Li(李恒吉), Jian Li(李剑), and Xiubo Chen(陈秀波). Probabilistic quantum teleportation of shared quantum secret[J]. 中国物理B, 2022, 31(9): 90303-090303.
[9]	Huan Yang(杨欢), Ling-Ling Xing(邢玲玲), Zhi-Yong Ding(丁智勇), Gang Zhang(张刚), and Liu Ye(叶柳). Steering quantum nonlocalities of quantum dot system suffering from decoherence[J]. 中国物理B, 2022, 31(9): 90302-090302.
[10]	Zhan-Yun Wang(王展云), Feng-Lin Wu(吴风霖), Zhen-Yu Peng(彭振宇), and Si-Yuan Liu(刘思远). Robustness of two-qubit and three-qubit states in correlated quantum channels[J]. 中国物理B, 2022, 31(7): 70302-070302.
[11]	I Reena, H S Karthik, J Prabhu Tej, Sudha, A R Usha Devi, and A K Rajagopal. Local sum uncertainty relations for angular momentum operators of bipartite permutation symmetric systems[J]. 中国物理B, 2022, 31(6): 60301-060301.
[12]	Bichen Che(车碧琛), Zhao Dou(窦钊), Xiubo Chen(陈秀波), Yu Yang(杨榆), Jian Li(李剑), and Yixian Yang(杨义先). Constructing the three-qudit unextendible product bases with strong nonlocality[J]. 中国物理B, 2022, 31(6): 60302-060302.
[13]	Yong-Ting Liu(刘永婷), Yi-Ming Wu(吴一鸣), and Fang-Fang Du(杜芳芳). Self-error-rejecting multipartite entanglement purification for electron systems assisted by quantum-dot spins in optical microcavities[J]. 中国物理B, 2022, 31(5): 50303-050303.
[14]	Xiao-Fang Liu(刘晓芳), Dong-Fen Li(李冬芬), Yun-Dan Zheng(郑云丹), Xiao-Long Yang(杨小龙), Jie Zhou(周杰), Yu-Qiao Tan(谭玉乔), and Ming-Zhe Liu(刘明哲). Experimental realization of quantum controlled teleportation of arbitrary two-qubit state via a five-qubit entangled state[J]. 中国物理B, 2022, 31(5): 50301-050301.
[15]	Xue-Yun Bai(白雪云) and Su-Ying Zhang(张素英). Protecting geometric quantum discord via partially collapsing measurements of two qubits in multiple bosonic reservoirs[J]. 中国物理B, 2022, 31(4): 40308-040308.