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We investigate quantum nonlocality dynamics of a three-level atom and a class of two-mode non-classical states (including the entangled coherent state, the pair coherent state and the two-mode squeezed state) in the non-degenerate two-photon Jaynes-Cummings model. It is shown that the time evolution of the Bell nonlocality for the case of the entangled coherent state is closely related to the average number of photons in the two-mode field. For the cases of the pair coherent state and the two-mode squeezed state, the effect of Bell nonlocality sudden death is demonstrated, and the absolute value of the 〈BCHSH〉 exhibits exact periodic collapses and revivals.
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Keywords:
- pseudo-spin operator /
- two-mode cavity field /
- non-degenerate two-photon Jaynes-Cummings model /
- Bell nonlocality
[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Bell J S 1964 Physics 1 195
[3] Gisin N, Peres A 1992 Phys. Lett. A 162 15
[4] Banaszek K, Wódkiewicz K 1999 Phys. Rev. Lett. 82 2009
[5] Chen Z B, Pan J W, Hou G, Zhang Y D 2002 Phys. Rev. Lett. 88 040406
[6] Jeong H, Son W, Kim M S, Ahn D, Brukner C 2003 Phys. Rev. A 67 012106
[7] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[8] Jaeger G, Ann K 2008 Phys. Lett. A 372 2212
[9] Lu H X, Li Y D 2009 Chin. Phys. B 18 40
[10] Gou S C 1990 Phys. Lett. A 147 218
[11] Sanders B C 1992 Phys. Rev. A 45 6811
[12] Agarwal G S 1988 J. Opt. Soc. Am. B 5 1940
[13] Reid M D, Drummond P D 1988 Phys. Rev. Lett. 60 2731
[14] Braunstein S L, Mann A, Revzen M 1992 Phys. Rev. Lett. 68 3259
[15] Cirel’son B S 1980 Lett. Math. Phys. 4 93
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[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Bell J S 1964 Physics 1 195
[3] Gisin N, Peres A 1992 Phys. Lett. A 162 15
[4] Banaszek K, Wódkiewicz K 1999 Phys. Rev. Lett. 82 2009
[5] Chen Z B, Pan J W, Hou G, Zhang Y D 2002 Phys. Rev. Lett. 88 040406
[6] Jeong H, Son W, Kim M S, Ahn D, Brukner C 2003 Phys. Rev. A 67 012106
[7] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[8] Jaeger G, Ann K 2008 Phys. Lett. A 372 2212
[9] Lu H X, Li Y D 2009 Chin. Phys. B 18 40
[10] Gou S C 1990 Phys. Lett. A 147 218
[11] Sanders B C 1992 Phys. Rev. A 45 6811
[12] Agarwal G S 1988 J. Opt. Soc. Am. B 5 1940
[13] Reid M D, Drummond P D 1988 Phys. Rev. Lett. 60 2731
[14] Braunstein S L, Mann A, Revzen M 1992 Phys. Rev. Lett. 68 3259
[15] Cirel’son B S 1980 Lett. Math. Phys. 4 93
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