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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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