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湮没算符三次幂本征态的非经典特性
引用本文:蓝海江.湮没算符三次幂本征态的非经典特性[J].广西科学,2010,17(3):232-234.
作者姓名:蓝海江
作者单位:柳州师范高等专科学校物理与信息科学系,广西柳州,545004;西南交通大学量子光电实验室,四川成都,610031
基金项目:国家自然科学基金项目 
摘    要:基于量子态的反聚束效应及Wigner函数的分布规律,利用二阶相干度及Fock态表象下Wigner函数的表示式,分别计算湮没算符三次幂本征态的二阶相干度及Wigner函数,讨论湮没算符三次幂本征态的非经典特性.结果表明,湮没算符三次幂本征态都具有反聚束效应,并且其Wigner函数均出现负值.这说明湮没算符三次幂本征态都是具有非经典特性的量子态.

关 键 词:湮没算符  本征态  二阶相干度  反聚束效应  Wigner函数  非经典特性
收稿时间:2009/12/7 0:00:00

Non-classical Properties of the Eigenstates of Annihilation Operator a3
LAN Hai-jiang.Non-classical Properties of the Eigenstates of Annihilation Operator a3[J].Guangxi Sciences,2010,17(3):232-234.
Authors:LAN Hai-jiang
Institution:LAN Hai-jiang,(1.Department of Physics and Information Science,Liuzhou Teachers College,Liuzhou,Guangxi,545004,China;2.Quantum Optoelectronics Laboratory,Southwest Jiaotong University,Chengdu,Sichuan,610031,China)
Abstract:By using the expression of second-order coherence degree and Wigner function in Fock presentation,the second-order coherence degrees and the Wigner functions of the eigenstates of annihilation operator a3 were calculated.Based on the anti-bunching effect and the distributions of Wigner functions,the nonclassical properties of these eigenstates were analyzed.The numerical results show that these eigenstates produce anti-bunching effect,and their relevant Wigner functions can be negative in phase spaces,which indicates that the eigenstates of annihilation operator a3 are non-classical states.
Keywords:annihilation operator  eigenstate  second-order coherence degree  anti-bunching effect  Wigner function  non-classical property
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