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Considering a double two-photon Jaynes-Cummings (J-C) model, we study the effects of Stark shift and mean photon number on entanglement between two two-level atoms when the atoms are initially in a maximally entangled state and the fields are in the single-mode thermal fields. The results show that the two atoms evolve periodically into a disentangled separable state when Stark shift is not considered. However, in the presence of Stark shift, the two two-level atoms are no longer disentangled and long-lived entanglement can be obtained. For a larger value of the Stark shift parameter and a smaller mean photon number, the two atoms can remain in a stationary entangled state. These properties show that the Stark shift can be used to control entanglement in the double two-photon J-C model under the influence of thermal environment.
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Keywords:
- double Jaynes-Cummings model /
- single-mode thermal field /
- Stark shift /
- entanglement
[1] Briegel H J, Dürr W, Cirac J I, Zoller P 1998 Phys. Rev. Lett. 81 5932
[2] Rosenfeld W, Hocke F, Henkel F, Krug M, Volz J, Weber M, Weinfurter H 2008 Phys. Rev. Lett. 101 260403
[3] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[4] Almeida M P, de Melo F, Hor-Meyll M, Salles A, Walborn S P, Souto Riberio P H, Davidovich L 2007 Science 316 579
[5] Yönac M, Yu T, Eberly J H 2006 J. Phys. B 39 S621
[6] Lettner M, Mücke M, Riedl S, Vo C, Hahn C, Baur S, Bochmann J, Ritter S, Dürr S, Rempe G 2011 Phys. Rev. Lett. 106 210503
[7] Yönac M, Eberly J H 2010 Phys. Rev. A 82 022321
[8] Lu D M 2011 Acta Phys. Sin. 60 090302 (in Chinese) [卢道明 2011 物理学报 60 090302]
[9] Sukumar C V, Buck B 1981 Phys. Lett. A 83 211
[10] Alsingh P, Zubairy M S 1987 J. Opt. Soc. Am. B 4 177
[11] Chotorlishvili L, Toklikishvili Z, Wimberger S, Berakdar J 2011 Phys. Rev. A 84 013825
[12] Wu Y, Yang X 2007 Phys. Rev. Lett. 98 013601
[13] Gao Y F, Feng J 2004 Acta Phys. Sin. 53 762 (in Chinese) [高云峰, 冯健 2004 物理学报 53 762]
[14] Semião F L, Furuya K 2007 Phys. Rev. A 75 042315
[15] Ateto M S 2009 Int. J. Theor. Phys. 48 545
[16] Abdel-Aty M, Moya-Cessa H 2007 Phys. Lett. A 369 372
[17] Hu Y H, Fang M F, Cai J W, Zeng K, Jiang C L 2008 J. Mod. Opt. 55 3549
[18] Nasreen T, Razmi M S K 1992 Phys. Rev. A 46 4161
[19] Fang M F, Liu X 2000 Acta Phys. Sin. 49 435 (in Chinese) [方卯发, 刘翔 2000 物理学报 49 435]
[20] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[21] Hill S 1997 Phys. Rev. Lett. 78 5022
[22] Brune M, Raimond J M, Goy P, Davidovich L, Haroche S 1987 Phys. Rev. Lett. 59 1899
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[1] Briegel H J, Dürr W, Cirac J I, Zoller P 1998 Phys. Rev. Lett. 81 5932
[2] Rosenfeld W, Hocke F, Henkel F, Krug M, Volz J, Weber M, Weinfurter H 2008 Phys. Rev. Lett. 101 260403
[3] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[4] Almeida M P, de Melo F, Hor-Meyll M, Salles A, Walborn S P, Souto Riberio P H, Davidovich L 2007 Science 316 579
[5] Yönac M, Yu T, Eberly J H 2006 J. Phys. B 39 S621
[6] Lettner M, Mücke M, Riedl S, Vo C, Hahn C, Baur S, Bochmann J, Ritter S, Dürr S, Rempe G 2011 Phys. Rev. Lett. 106 210503
[7] Yönac M, Eberly J H 2010 Phys. Rev. A 82 022321
[8] Lu D M 2011 Acta Phys. Sin. 60 090302 (in Chinese) [卢道明 2011 物理学报 60 090302]
[9] Sukumar C V, Buck B 1981 Phys. Lett. A 83 211
[10] Alsingh P, Zubairy M S 1987 J. Opt. Soc. Am. B 4 177
[11] Chotorlishvili L, Toklikishvili Z, Wimberger S, Berakdar J 2011 Phys. Rev. A 84 013825
[12] Wu Y, Yang X 2007 Phys. Rev. Lett. 98 013601
[13] Gao Y F, Feng J 2004 Acta Phys. Sin. 53 762 (in Chinese) [高云峰, 冯健 2004 物理学报 53 762]
[14] Semião F L, Furuya K 2007 Phys. Rev. A 75 042315
[15] Ateto M S 2009 Int. J. Theor. Phys. 48 545
[16] Abdel-Aty M, Moya-Cessa H 2007 Phys. Lett. A 369 372
[17] Hu Y H, Fang M F, Cai J W, Zeng K, Jiang C L 2008 J. Mod. Opt. 55 3549
[18] Nasreen T, Razmi M S K 1992 Phys. Rev. A 46 4161
[19] Fang M F, Liu X 2000 Acta Phys. Sin. 49 435 (in Chinese) [方卯发, 刘翔 2000 物理学报 49 435]
[20] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[21] Hill S 1997 Phys. Rev. Lett. 78 5022
[22] Brune M, Raimond J M, Goy P, Davidovich L, Haroche S 1987 Phys. Rev. Lett. 59 1899
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