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We have studied the sudden death and revival of entanglement in two V-type three-level atoms coupled to the common vacuum. results show that in the case of largely separated atoms, spontaneous emission leads to decoherence and even causes entanglement sudden death. However, the excited-state decay rate of the atom can affect the time of entanglement sudden death. In the case of closely separated atoms, due to the collective effect of atoms, the entanglement which has been dead will revive in some time. The initial entanglement and the revival of entanglement arise from different causes.
[1] McAneney H, Lee J, Kim M S 2003 Phys. Rev. A 68 063814
[2] Hamieh S D, Katsnelson M I 2005 Phys. Rev. A 72 032316
[3] Ikram M, Li F L, Zubairy S 2007 Phys. Rev. A 75 062336
[4] Zhou Q C,Zhu S N 2005 Acta Phys. Sin. 54 2043 (in Chinese)[周青春、 祝世宁 2005 物理学报 54 2403]
[5] Wootters W K 1998 Phys. Rev. A 80 2245
[6] Zyczkowski K, Horodecki P, Sanpera A, Lewenstein M 1998 Phys. Rev. A 58 883
[7] Jiang C L, Fang M F, Wu Z Z 2006 Acta Phys. Sin. 55 4647 (in Chinese)[江春蕾、 方卯发、 吴珍珍 2006 物理学报 55 4647]
[8] Ma X S, Wang A M 2008 Acta Phys. Sin. 57 2026 (in Chinese)[马小三、 王安民 2008 物理学报 57 2026]
[9] Zhang J S, Xu J B 2009 Chin. Phys. B 18 2288
[10] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[11] Yu T, Eberly J H 2006 Phys. Rev. Lett. 97 140403
[12] Ficek Z, Tanas R 2006 Phys .Rev. A 74 024304
[13] Ficek Z, Tanas R 2008 Phys. Rev. A 77 054301
[14] Weinstein Y S 2009 Phys. Rev. A 79 012318
[15] Al-Amri M, Li G X, Tan R, Zubairy S 2009 Phys. Rev. A 80 022314
[16] Song W, Chen L, Zhu S L 2009 Phys. Rev. A 80 012331
[17] Guo L, Liang X T 2009 Acta Phys. Sin. 58 0050 (in Chinese)[郭 亮、 梁先庭 2009 物理学报 58 0050]
[18] Cheng Q L,Xie S Y,Yang Y P 2008 Acta Phys. Sin. 57 6968 (in Chinese)[成秋丽、 谢双媛、 羊亚平 2008 物理学报 57 6968]
[19] Zeng H F, Shao B, Yang L G, Li J, Zou J 2009 Chin. Phys. B 18 3265
[20] Yu T, Eberly J H 2009 Science 323 598
[21] Derkacz L, Jakobczyk L 2006 Phys. Rev. A 74 032313
[22] Derkacz L, Jakobczyk L 2008 J. Phys. A 41 205304
[23] Zhou L,Yang G H, Patnaik A K 2009 Phys. Rev. A 79 062102
[24] Ficek Z, Swain S 2004 Phys. Rev. A 69 023401
[25] Agarwal G S 1974 Quantum Statistical Theories of Spontaneous Emission and Their Relation to Other Approaches (Berlin: Springer) p28
[26] Peres A 1996 Phys. Rev. Lett. 77 1413
[27] Zyczkowski K, Horo-decki P, Sanpera A, Lewenstein M 1998 Phys. Rev. A 58 883
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[1] McAneney H, Lee J, Kim M S 2003 Phys. Rev. A 68 063814
[2] Hamieh S D, Katsnelson M I 2005 Phys. Rev. A 72 032316
[3] Ikram M, Li F L, Zubairy S 2007 Phys. Rev. A 75 062336
[4] Zhou Q C,Zhu S N 2005 Acta Phys. Sin. 54 2043 (in Chinese)[周青春、 祝世宁 2005 物理学报 54 2403]
[5] Wootters W K 1998 Phys. Rev. A 80 2245
[6] Zyczkowski K, Horodecki P, Sanpera A, Lewenstein M 1998 Phys. Rev. A 58 883
[7] Jiang C L, Fang M F, Wu Z Z 2006 Acta Phys. Sin. 55 4647 (in Chinese)[江春蕾、 方卯发、 吴珍珍 2006 物理学报 55 4647]
[8] Ma X S, Wang A M 2008 Acta Phys. Sin. 57 2026 (in Chinese)[马小三、 王安民 2008 物理学报 57 2026]
[9] Zhang J S, Xu J B 2009 Chin. Phys. B 18 2288
[10] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[11] Yu T, Eberly J H 2006 Phys. Rev. Lett. 97 140403
[12] Ficek Z, Tanas R 2006 Phys .Rev. A 74 024304
[13] Ficek Z, Tanas R 2008 Phys. Rev. A 77 054301
[14] Weinstein Y S 2009 Phys. Rev. A 79 012318
[15] Al-Amri M, Li G X, Tan R, Zubairy S 2009 Phys. Rev. A 80 022314
[16] Song W, Chen L, Zhu S L 2009 Phys. Rev. A 80 012331
[17] Guo L, Liang X T 2009 Acta Phys. Sin. 58 0050 (in Chinese)[郭 亮、 梁先庭 2009 物理学报 58 0050]
[18] Cheng Q L,Xie S Y,Yang Y P 2008 Acta Phys. Sin. 57 6968 (in Chinese)[成秋丽、 谢双媛、 羊亚平 2008 物理学报 57 6968]
[19] Zeng H F, Shao B, Yang L G, Li J, Zou J 2009 Chin. Phys. B 18 3265
[20] Yu T, Eberly J H 2009 Science 323 598
[21] Derkacz L, Jakobczyk L 2006 Phys. Rev. A 74 032313
[22] Derkacz L, Jakobczyk L 2008 J. Phys. A 41 205304
[23] Zhou L,Yang G H, Patnaik A K 2009 Phys. Rev. A 79 062102
[24] Ficek Z, Swain S 2004 Phys. Rev. A 69 023401
[25] Agarwal G S 1974 Quantum Statistical Theories of Spontaneous Emission and Their Relation to Other Approaches (Berlin: Springer) p28
[26] Peres A 1996 Phys. Rev. Lett. 77 1413
[27] Zyczkowski K, Horo-decki P, Sanpera A, Lewenstein M 1998 Phys. Rev. A 58 883
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