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双模压缩数态光场的Wigner函数及其特性

宋军 范洪义 周军

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双模压缩数态光场的Wigner函数及其特性

宋军, 范洪义, 周军

Wigner function of two-mode squeezed number state and its properties

Song Jun, Fan Hong-Yi, Zhou Jun
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  • 借助纠缠态表象及Wigner算符在该表象下的表示,得到双模压缩数态的Wigner函数,数值计算画出相空间中Wigner函数的分布图,并加以分析,发现双模压缩数态两模之间相互关联、相互纠缠,对相空间中Wigner函数分布产生影响.
    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.
    • 基金项目: 国家自然科学基金(批准号:10874174)和安徽省高等学校优秀青年人才基金(批准号:2011SQRL147)资助的课题.
    [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

  • [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

计量
  • 文章访问数:  11077
  • PDF下载量:  1152
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-01-12
  • 修回日期:  2011-02-06
  • 刊出日期:  2011-11-15

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