湮没算符k次幂本征态的Wigner函数及其非经典特性  

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

作　　者：蓝海江[1,2] 韦联福[2] 

机构地区：[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　　处：《量子电子学报》2010年第2期187-192,共6页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金资助项目(10874142)

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)。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 parametersα,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）.

关 键 词：量子光学 湮没算符 本征态 WIGNER函数 非经典特性 

分 类 号：O431.2[机械工程—光学工程]