控制Tavis-Cummings模型中两原子X态的纠缠突然死亡与突然产生

单传家; 刘继兵; 陈涛; 刘堂昆; 黄燕霞; 李宏

doi:10.7498/aps.59.6799

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控制Tavis-Cummings模型中两原子X态的纠缠突然死亡与突然产生

单传家 , 刘继兵 , 陈涛 , 刘堂昆 , 黄燕霞 , 李宏

控制Tavis-Cummings模型中两原子X态的纠缠突然死亡与突然产生

单传家, 刘继兵, 陈涛, 刘堂昆, 黄燕霞, 李宏

物理学报. 2010, 59(10): 6799-6805.

doi: 10.7498/aps.59.6799.

摘要

研究了初态为X态时Tavis-Cummings模型中具有偶极相互作用两原子的纠缠演化特性,在演化过程中,同时号码出现了两原子的纠缠突然死亡(ESD)与突然产生(ESB)两种有趣的现象.详细分析了两原子初始态的纯度、偶极相互作用、光场粒子数对这两种现象出现时间的影响,进一步给出了初始为混态时ESB与ESD的转换条件.计算结果表明,上述系统参量对两原子的纠缠演化、ESB与ESD有重要的影响,偶极相互作用会改变纠缠度的振荡周期, 使出现ESD的时间间隔减少,随着初始两原子纠缠纯度的增大,纠缠突然产

关键词:

作者及机构信息

1.
湖北师范学院物理与电子科学学院,黄石 435002

基金项目: 国家自然科学基金(批准号:10904033)、湖北省自然科学基金(批准号:2009CDA145)、湖北省教育厅科研基金(批准号:D20092204)和湖北省教育厅科技研究基金(批准号:Z200722001)资助的课题.

参考文献

[1]	Bennett C H , Brassaro G, Crepeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[2]	He J, Ye L, Ni Z X 2008 Chin. Phys. B 17 1597
[3]	Shan C J, Man Z X, Xia Y J, Liu T K 2007 Int. J. Quant. Inform. 5 335
[4]	Ekert A K 1991 Phys. Rev . Lett . 67 661
[5]	Zheng S B, Guo G C 2000 Phys. Rev. Lett. 85 2392
[6]	Song J, Cao Z L 2005 Acta Phys. Sin. 54 696 (in Chinese) [宋军、曹卓良 2005 物理学报 54 696]
[7]	Loss D, Divincenzo D P 1998 Phys. Rev. A 57 120
[8]	Wang X G 2001 Phys. Rev. A 64 012313
[9]	Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[10]	Almeida M P, de Melo F, Hor-Meyll M, Salles A, Walborn S P, Ribeiro P H S, Davidovich L 2007 Science 316 579
[11]	Laurat J, Choi K S, Deng H, Chou C W, Kimble H J 2007 Phys. Rev. Lett. 99 180504
[12]	Ficek Z, Tanas R 2006 Phys. Rev. A 74 024304
[13]	Lopez C E, Romero G, Lastra F, Solano E, Retamal J C 2008 Phys. Rev. Lett. 101 080503
[14]	Yu T, Eberly J H 2007 Quantum Inf. Comput. 7 459
[15]	Al-Qasimi A, James D F V 2008 Phys. Rev. A 77 012117
[16]	Wang F Q, Zhang Z M, Liang R S 2008 Phys. Rev. A 78 062318
[17]	Yonac M, Yu T, Eberly J H 2007 J. Phys. B: At. Mol. Opt. Phys. 40 S45
[18]	Man Z X, Xia Y J, Nguyen B A 2008 J. Phys. B: At. Mol. Opt. Phys. 41 085503
[19]	Chen L, Shao X Q, Zhang S 2009 Chin. Phys. B 18 888
[20]	Shan C J, Xia Y J 2006 Acta Phys. Sin. 55 1585 (in Chinese)[单传家、夏云杰 2006 物理学报 55 1585]
[21]	Wooters W K, Zurek W H 1982 Nature (London) 299 802

施引文献

[1]	Bennett C H , Brassaro G, Crepeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[2]	He J, Ye L, Ni Z X 2008 Chin. Phys. B 17 1597
[3]	Shan C J, Man Z X, Xia Y J, Liu T K 2007 Int. J. Quant. Inform. 5 335
[4]	Ekert A K 1991 Phys. Rev . Lett . 67 661
[5]	Zheng S B, Guo G C 2000 Phys. Rev. Lett. 85 2392
[6]	Song J, Cao Z L 2005 Acta Phys. Sin. 54 696 (in Chinese) [宋军、曹卓良 2005 物理学报 54 696]
[7]	Loss D, Divincenzo D P 1998 Phys. Rev. A 57 120
[8]	Wang X G 2001 Phys. Rev. A 64 012313
[9]	Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[10]	Almeida M P, de Melo F, Hor-Meyll M, Salles A, Walborn S P, Ribeiro P H S, Davidovich L 2007 Science 316 579
[11]	Laurat J, Choi K S, Deng H, Chou C W, Kimble H J 2007 Phys. Rev. Lett. 99 180504
[12]	Ficek Z, Tanas R 2006 Phys. Rev. A 74 024304
[13]	Lopez C E, Romero G, Lastra F, Solano E, Retamal J C 2008 Phys. Rev. Lett. 101 080503
[14]	Yu T, Eberly J H 2007 Quantum Inf. Comput. 7 459
[15]	Al-Qasimi A, James D F V 2008 Phys. Rev. A 77 012117
[16]	Wang F Q, Zhang Z M, Liang R S 2008 Phys. Rev. A 78 062318
[17]	Yonac M, Yu T, Eberly J H 2007 J. Phys. B: At. Mol. Opt. Phys. 40 S45
[18]	Man Z X, Xia Y J, Nguyen B A 2008 J. Phys. B: At. Mol. Opt. Phys. 41 085503
[19]	Chen L, Shao X Q, Zhang S 2009 Chin. Phys. B 18 888
[20]	Shan C J, Xia Y J 2006 Acta Phys. Sin. 55 1585 (in Chinese)[单传家、夏云杰 2006 物理学报 55 1585]
[21]	Wooters W K, Zurek W H 1982 Nature (London) 299 802

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物理学报. 2010, 59(10): 6799-6805.

doi: 10.7498/aps.59.6799.

控制Tavis-Cummings模型中两原子X态的纠缠突然死亡与突然产生

1. 湖北师范学院物理与电子科学学院,黄石 435002

基金项目:

国家自然科学基金(批准号:10904033)、湖北省自然科学基金(批准号:2009CDA145)、湖北省教育厅科研基金(批准号:D20092204)和湖北省教育厅科技研究基金(批准号:Z200722001)资助的课题.

收稿日期: 2009-03-28
修回日期: 2010-01-26
刊出日期: 2010-05-05

摘要: 研究了初态为X态时Tavis-Cummings模型中具有偶极相互作用两原子的纠缠演化特性,在演化过程中,同时号码出现了两原子的纠缠突然死亡(ESD)与突然产生(ESB)两种有趣的现象.详细分析了两原子初始态的纯度、偶极相互作用、光场粒子数对这两种现象出现时间的影响,进一步给出了初始为混态时ESB与ESD的转换条件.计算结果表明,上述系统参量对两原子的纠缠演化、ESB与ESD有重要的影响,偶极相互作用会改变纠缠度的振荡周期, 使出现ESD的时间间隔减少,随着初始两原子纠缠纯度的增大,纠缠突然产

关键词:

English Abstract

Controlling entanglement sudden birth and sudden death of two-atom X-states in Tavis-Cummings model

1.
College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002,China

Received Date: 28 March 2009
Accepted Date: 26 January 2010
Published Online: 05 May 2010

Abstract: In this paper, we investigate the entanglement dynamics of two entangled two-level atoms with initial X state and dipole-dipole coupling intensity in Tavis-Cummings model. The interesting phenomena of entanglement sudden death as well as sudden birth appear during the evolution process. We analyze in detail the effect of purity of initially entangled state of two atoms, the dipole-dipole coupling intensity between two atoms, and the field in the Fock state on the apparition time of entanglement sudden death and entanglement sudden birth. Furthermore, the conditions for the conversion of entanglement sudden death and entanglement sudden birth can be generalized when the initial entangled state is not pure. The results show that the above system parameters affect the concurrence, entanglement sudden birth and sudden death remarkably, the dipole-dipole coupling intensity affects amplitudes of the concurrence oscillation and leads time interval of the ESD to decrease. With the increasing of the purity, the time of entanglement sudden death and entanglement sudden birth will decrease, it is also notable that invariant and stable entanglement, which can be controlled by different initial states of the atoms, occurs for particular initial X state.

Keywords:

entanglement sudden death and sudden birth /
two-atom X states /
T-C model

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