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湮灭算符任意次幂本征态的Wigner函数

蓝海江 韦联福

蓝海江, 韦联福. 湮灭算符任意次幂本征态的Wigner函数[J]. 西南交通大学学报, 2009, 22(6): 940-945.
引用本文: 蓝海江, 韦联福. 湮灭算符任意次幂本征态的Wigner函数[J]. 西南交通大学学报, 2009, 22(6): 940-945.
LAN Haijiang, WEI Lianfu. Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators[J]. Journal of Southwest Jiaotong University, 2009, 22(6): 940-945.
Citation: LAN Haijiang, WEI Lianfu. Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators[J]. Journal of Southwest Jiaotong University, 2009, 22(6): 940-945.

湮灭算符任意次幂本征态的Wigner函数

基金项目: 

国家自然科学基金资助项目(10874142)

详细信息
    作者简介:

    蓝海江(1968- ),男,副教授,研究方向为量子光学等,电话:13807821080,E-mail:lanhaijiang@163.com

    通讯作者:

    韦联福(1965- ),男,教授,博士生导师,研究方向为信号与信息处理、凝聚态物理等,电话:15882120348;028-87602625,E-mail:lfwei@swjtu.cn

Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators

  • 摘要: 用在Fock态表象下的Wigner函数重构了湮灭算符任意次幂本征态的Wigner函数.分析了这些函数在相空间中的分布规律,并据此讨论了湮灭算符任意次幂的本征态的非经典特性.结果表明,Wigner函数的分布与湮灭算符本征值的大小有关;湮灭算符1次幂的本征态(即相干态)为准经典态(其Wigner函数的取值总是非负的),而其高次幂的本征态则具有明显的非经典特性(其Wigner函数均出现了负值).

     

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出版历程
  • 收稿日期:  2009-04-27
  • 刊出日期:  2010-01-20

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