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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
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关键词:
- 纠缠突然死亡与突然产生 /
- 两原子X态 /
- Tavis-Cummings模型
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.[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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[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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