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By means of the entangled state representation as well as the Wigner operator in such a representation, the Wigner function of the two-mode squeezed number states is derived. The properties of corresponding Wigner function in the phase space are discussed by numerical calculation. The results indicate that Wigner function distribution in the phase space should be influenced by the correlation and the entanglement between two modes of two-mode squeezed number state.
[1] Wigner E 1932 Phys. Rev. 40 749
[2] Kurtsiefer C, Pfau T, Mlynek J 1997 Nature 386 150
[3] Vogel K and Risken H 1989 Phys. Rev. A 40 2847
[4] Franca Santos M, Lutterbach L G, Dutra S M, Zagury N, Davidovich L 2001 Phys. Rev. A 63 033813
[5] Fan H Y 2002 Phys. Rev. A 65 064102
[6] Zheng S B 2005 Phys.Rev. A 71 043820
[7] Dahl J P, Mack H, Wolf A, Schleich W P 2006 Phys.Rev. A 74 042323
[8] Piovella N, Cola M M, Volpe L, Schiavi A, Bonifacio R 2008 Phys.Rev. Lett. 100 044801
[9] Lan H J, Pang H F, Wei L F 2009 Acta Phys.Sin. 58 8281(in Chinese)[蓝海江、庞华锋、韦联福 2009 物理学报 58 8281]
[10] Song J, Fan H Y 2010 Acta Phys.Sin. 59 6806(in Chinese)[宋 军、范洪义 2010 物理学报 59 6806]
[11] Chen X, Xia Y J 2010 Acta Phys.Sin. 59 80(in Chinese)[陈 星、夏云杰 2010 物理学报 59 80]
[12] Liu X J, Liu Y M, Zhou B J 2010 Acta Phys.Sin. 59 8518(in Chinese)[刘小娟、刘一曼、周并举 2010 物理学报 59 8518]
[13] He G Q, Yi Z, Zhu J, Zeng G H 2007 Acta Phys.Sin. 56 6427(in Chinese)[何广强、易 智、朱 俊、曾贵华 2007 物理学 报 56 6427]
[14] Yi Z, He G Q, Zeng G H 2009 Acta Phys.Sin. 58 3166 (in Chinese)[易 智、何广强、曾贵华 2009 物理学报 58 3166]
[15] Jiang N Q, Jin B Q, Zhang Y, Cai G C 2008 Euro. Phys. Lett. 84 14002
[16] Jiang N Q, Zheng Y Z 2006 Phys. Rev. A 74 012306
[17] Wang M F, Zhang Y, Jiang N Q, Zheng Y Z 2009 Phys. Rev. A 79 012327
[18] Fan H Y, Klauder J R 1994 Phys. Rev. A 49 704
[19] Fan H Y, Chen B Z 1996 Phys. Rev. A 53 2948
[20] Fan H Y, Ye X 1993 Phys. Lett. A 175 387
[21] Fan H Y, Fan Y 1996 Phys. Rev. A 54 958
[22] Fan H Y, Fan Y 1998 Mod. Phys. Lett. A 13 433
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[1] Wigner E 1932 Phys. Rev. 40 749
[2] Kurtsiefer C, Pfau T, Mlynek J 1997 Nature 386 150
[3] Vogel K and Risken H 1989 Phys. Rev. A 40 2847
[4] Franca Santos M, Lutterbach L G, Dutra S M, Zagury N, Davidovich L 2001 Phys. Rev. A 63 033813
[5] Fan H Y 2002 Phys. Rev. A 65 064102
[6] Zheng S B 2005 Phys.Rev. A 71 043820
[7] Dahl J P, Mack H, Wolf A, Schleich W P 2006 Phys.Rev. A 74 042323
[8] Piovella N, Cola M M, Volpe L, Schiavi A, Bonifacio R 2008 Phys.Rev. Lett. 100 044801
[9] Lan H J, Pang H F, Wei L F 2009 Acta Phys.Sin. 58 8281(in Chinese)[蓝海江、庞华锋、韦联福 2009 物理学报 58 8281]
[10] Song J, Fan H Y 2010 Acta Phys.Sin. 59 6806(in Chinese)[宋 军、范洪义 2010 物理学报 59 6806]
[11] Chen X, Xia Y J 2010 Acta Phys.Sin. 59 80(in Chinese)[陈 星、夏云杰 2010 物理学报 59 80]
[12] Liu X J, Liu Y M, Zhou B J 2010 Acta Phys.Sin. 59 8518(in Chinese)[刘小娟、刘一曼、周并举 2010 物理学报 59 8518]
[13] He G Q, Yi Z, Zhu J, Zeng G H 2007 Acta Phys.Sin. 56 6427(in Chinese)[何广强、易 智、朱 俊、曾贵华 2007 物理学 报 56 6427]
[14] Yi Z, He G Q, Zeng G H 2009 Acta Phys.Sin. 58 3166 (in Chinese)[易 智、何广强、曾贵华 2009 物理学报 58 3166]
[15] Jiang N Q, Jin B Q, Zhang Y, Cai G C 2008 Euro. Phys. Lett. 84 14002
[16] Jiang N Q, Zheng Y Z 2006 Phys. Rev. A 74 012306
[17] Wang M F, Zhang Y, Jiang N Q, Zheng Y Z 2009 Phys. Rev. A 79 012327
[18] Fan H Y, Klauder J R 1994 Phys. Rev. A 49 704
[19] Fan H Y, Chen B Z 1996 Phys. Rev. A 53 2948
[20] Fan H Y, Ye X 1993 Phys. Lett. A 175 387
[21] Fan H Y, Fan Y 1996 Phys. Rev. A 54 958
[22] Fan H Y, Fan Y 1998 Mod. Phys. Lett. A 13 433
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