湮没算符k次幂本征态的Wigner函数及其非经典特性

J4 ›› 2010, Vol. 27 ›› Issue (2): 187-192.

湮没算符k次幂本征态的Wigner函数及其非经典特性

蓝海江^1,2，韦联福²

1柳州师范高等专科学校物理与信息科学系, 广西柳州 545003;
2 西南交通大学量子光电信息实验室, 四川成都 610031

出版日期:2010-03-28 发布日期:2010-03-05
通讯作者: 蓝海江(1968-)，男，副教授，西南交通大学访问学者，主要从事量子光学方面的研究． E-mail:lanhaijiang@163.com
基金资助:
国家自然科学基金资助项目(10874142)

Wigner functions for the eigenstates of k-th power annihilation operators and their non-classical properties

LAN Hai-Jiang^1,2, WEI Lian-Fu²

1 Department of Physics and Information Science, Liuzhou Teachers College, Liuzhou 545003, China;
2 Laboratory of Quantum Opt-electronic Information, Southwest Jiaotong University, Chengdu 610031, China

Published:2010-03-28 Online:2010-03-05

摘要/Abstract

摘要：

利用Fock态表象下的Wigner函数表达式，重构了湮没算符k次幂本征态的Wigner函数，并依据Wigner函数在相空间的分布规律，讨论了湮没算符k次幂本征态的非经典特性．数值结果表明：湮没算符k次幂本征态的Wigner函数的分布与复参数α的取值有关；湮没算符1次幂的本征态(即相干态)为准经典态(其Wigner函数值总是非负的)，而湮没算符大于或等于2次幂的本征态则都具有明显的非经典特性(它们的Wigner函数均出现了负值).

关键词: 量子光学, 湮没算符, 本征态, Wigner函数, 非经典特性

Abstract:

Wigner functions for the eigenstates of k-th power annihilation operators are constructed in phase spaces by using their expressions in Fock presentations. Based on the negativities of their relevant Wigner functions, the non-classical properties of these eigenstates are discussed. The numerical results show that, depending on the complex parameters α (defining the phase space), the coherent states are quasi-classical (their Wigner functions are always non-negative), but the eigenstates of k-th (k≥2) power annihilation operators are really non-classical (their relevant Wigner functions can be negative in phase spaces).

Key words: quantum optics, annihilation operators, eigenstates, Wigner functions, non-classical property

蓝海江韦联福. 湮没算符k次幂本征态的Wigner函数及其非经典特性[J]. J4, 2010, 27(2): 187-192.

LAN Hai-Jiang, WEI Lian-Fu. Wigner functions for the eigenstates of k-th power annihilation operators and their non-classical properties[J]. J4, 2010, 27(2): 187-192.

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