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研究了与热库耦合的光学腔中三个相互作用的二能级原子间的纠缠动力学.采用拉普拉斯变换和下限共生等方法，通过数值计算，分析了原子间三体纠缠的演化以及腔场与热库间的两体纠缠演化，讨论了各耦合参数对系统纠缠演化的影响.研究结果表明：原子间纠缠在短时间内随着原子间耦合强度的增加而增加，随原子与腔场耦合强度的增加而减小，在长时极限下趋于一稳定值；体系的非马尔科夫性由原子与腔场的耦合强度以及热库的谱宽度共同决定，当热库与腔场为强耦合时，原子与腔场组成的系统遵循非马尔科夫动力学，此时随着热库谱宽的增加，原子系统由非马尔科夫性变为马尔科夫性，随着谱宽的继续增加，原子与腔场组成的系统遵循马尔科夫动力学，原子系统又表现出非马尔科夫性；调整腔场与热库的失谐可以有效抑制热库耗散对纠缠衰减的影响.
[1] Horodedecki R, Horodedeck P, Horodedecki M, Horodedecki K 2009 Rev. Mod. Phys. 81 865
[2] Zyczkowski K, Horodedecki P, Horodedecki M, Horodedecki R 2001 Phys. Rev. A 65 012101
[3] Zhang Y D 2012 Principles of Quantum Information Physics (Beijing: Science Press) pp258-307 (in Chinese) [张永德 2012 量子信息物理原理(第一版) (北京: 科学出版社) 第258307页]
[4] Bennett C H, Brassard G, Crpeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[5] Hillery M, Bužek V, Berthiaume A 1999 Phys. Rev. A 59 1892
[6] Ekert A K 1991 Phys. Rev. Lett. 67 661
[7] Yan L H, Gao Y F, Zhao J G 2009 Int. J. Theor. Phys. 48 2445
[8] Murao M, Vedral V 2001 Phys. Rev. Lett. 86 352
[9] Deng F G, Ren B C, Li X H 2017 Sci. Bull. 62 44
[10] Sheng Y B, Zhou L 2017 Sci. Bull. 62 1025
[11] Yu T, Eberly J H 2006 Phys. Rev. Lett. 97 140403
[12] Almeida M P, de Melo F, Hor-Meyll M, Salles A, Walborn S P, Souto Ribeiro P H, Davidovich L 2007 Science 316 579
[13] Zong X L, Yang M 2016 Acta Phys. Sin. 65 080303 (in Chinese) [宗晓岚, 杨名 2016 物理学报 65 080303]
[14] Breuer H P, Petruccione F 2002 Theory of Oopen Qquantum Systems (Oxford: Oxford University Press) pp568-617
[15] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[16] Wu Q, Zhang Z M 2014 Chin. Phys. B 23 034203
[17] Bai Y K, Ye M Y, Wang Z D 2009 Phys. Rev. A 80 044301
[18] Bai Y K, Xu Y F, Wang Z D 2014 Phys. Rev. Lett. 113 100503
[19] Maniscalco S, Francica F, Zaffino R L, Gullo N L, Plastina F 2008 Phys. Rev. Lett. 100 090503
[20] Bellomo B, Lo Franco R, Compagno G 2008 Phys. Rev. A 77 032342
[21] He Z, Li L W 2013 Acta Phys. Sin. 62 180301 (in Chinese) [贺志, 李龙武 2013 物理学报 62 180301]
[22] Ma X S, Wang A M, Yang X D, You H 2005 J. Phys. A 38 2761
[23] Ma X S, Wang A M, Cao Y 2007 Phys. Rev. B 76 155327
[24] Ma X S, Liu G S, Wang A M 2011 Int. J. Quant. Inf. 9 791
[25] Feng L J, Xia Y J 2015 Acta Phys. Sin. 64 010302 (in Chinese) [封玲娟, 夏云杰 2015 物理学报 64 010302]
[26] Yang L Q, Feng L J, Song X X, Xue L J, Man Z X 2016 Acta Sin. Quantum Opt. 22 6 (in Chinese) [杨丽青, 封玲娟, 宋晓晓, 薛利娟, 满忠晓 2016 量子光学学报 22 6]
[27] Ma T T, Chen Y S, Chen T, Hedemann S R, Yu T 2014 Phys. Rev. A 90 042108
[28] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[29] Li M, Fei S M, Song H S 2009 J. Phys. A: Math. Theor. 42 145303
[30] Sabn C, Garcia-Alcaine G 2008 Eur. Phys. J. D 48 435
[31] An B N, Kim J, Kim K 2010 Phys. Rev. A 82 032316
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[1] Horodedecki R, Horodedeck P, Horodedecki M, Horodedecki K 2009 Rev. Mod. Phys. 81 865
[2] Zyczkowski K, Horodedecki P, Horodedecki M, Horodedecki R 2001 Phys. Rev. A 65 012101
[3] Zhang Y D 2012 Principles of Quantum Information Physics (Beijing: Science Press) pp258-307 (in Chinese) [张永德 2012 量子信息物理原理(第一版) (北京: 科学出版社) 第258307页]
[4] Bennett C H, Brassard G, Crpeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[5] Hillery M, Bužek V, Berthiaume A 1999 Phys. Rev. A 59 1892
[6] Ekert A K 1991 Phys. Rev. Lett. 67 661
[7] Yan L H, Gao Y F, Zhao J G 2009 Int. J. Theor. Phys. 48 2445
[8] Murao M, Vedral V 2001 Phys. Rev. Lett. 86 352
[9] Deng F G, Ren B C, Li X H 2017 Sci. Bull. 62 44
[10] Sheng Y B, Zhou L 2017 Sci. Bull. 62 1025
[11] Yu T, Eberly J H 2006 Phys. Rev. Lett. 97 140403
[12] Almeida M P, de Melo F, Hor-Meyll M, Salles A, Walborn S P, Souto Ribeiro P H, Davidovich L 2007 Science 316 579
[13] Zong X L, Yang M 2016 Acta Phys. Sin. 65 080303 (in Chinese) [宗晓岚, 杨名 2016 物理学报 65 080303]
[14] Breuer H P, Petruccione F 2002 Theory of Oopen Qquantum Systems (Oxford: Oxford University Press) pp568-617
[15] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[16] Wu Q, Zhang Z M 2014 Chin. Phys. B 23 034203
[17] Bai Y K, Ye M Y, Wang Z D 2009 Phys. Rev. A 80 044301
[18] Bai Y K, Xu Y F, Wang Z D 2014 Phys. Rev. Lett. 113 100503
[19] Maniscalco S, Francica F, Zaffino R L, Gullo N L, Plastina F 2008 Phys. Rev. Lett. 100 090503
[20] Bellomo B, Lo Franco R, Compagno G 2008 Phys. Rev. A 77 032342
[21] He Z, Li L W 2013 Acta Phys. Sin. 62 180301 (in Chinese) [贺志, 李龙武 2013 物理学报 62 180301]
[22] Ma X S, Wang A M, Yang X D, You H 2005 J. Phys. A 38 2761
[23] Ma X S, Wang A M, Cao Y 2007 Phys. Rev. B 76 155327
[24] Ma X S, Liu G S, Wang A M 2011 Int. J. Quant. Inf. 9 791
[25] Feng L J, Xia Y J 2015 Acta Phys. Sin. 64 010302 (in Chinese) [封玲娟, 夏云杰 2015 物理学报 64 010302]
[26] Yang L Q, Feng L J, Song X X, Xue L J, Man Z X 2016 Acta Sin. Quantum Opt. 22 6 (in Chinese) [杨丽青, 封玲娟, 宋晓晓, 薛利娟, 满忠晓 2016 量子光学学报 22 6]
[27] Ma T T, Chen Y S, Chen T, Hedemann S R, Yu T 2014 Phys. Rev. A 90 042108
[28] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[29] Li M, Fei S M, Song H S 2009 J. Phys. A: Math. Theor. 42 145303
[30] Sabn C, Garcia-Alcaine G 2008 Eur. Phys. J. D 48 435
[31] An B N, Kim J, Kim K 2010 Phys. Rev. A 82 032316
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