湮没算符高次幂本征态的Wigner函数  

Wigner Functions for Eigenstates of Higher Powers of Annihilation Operators

作　　者：李珏璇[1] 蓝海江[1] 

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545004

出　　处：《科技通报》2012年第4期13-16,共4页Bulletin of Science and Technology

摘　　要：利用Fock态表象下Wigner函数的表示式,计算了湮没算符高次幂本征态的Wigner函数,并依据其Wigner函数在相空间中的分布规律,分析了这些本征态的非经典特性。数值结果表明,湮没算符高次幂本征态的Wigner函数均出现负值。因此,它们都是具有非经典特性的量子态。此结果为这些量子态的测量提供理论依据。The Wigner functions for eigenstates of higher powers of annihilation operators were calculated using their representations in Fock spaces. According to the distribution of their relevant Wigner functions, the nonclassical prope ties of these eigenstates were discussed. The numerical results show that, all the Wigner functions of these eigenstates may become negative, and thus these eigenstates possess nonclassical properties. The result provides a theoretical foundation for measuring these states.

关 键 词：量子光学 湮没算符高次幂本征态 WIGNER函数 非经典特性 

分 类 号：O431.2[机械工程—光学工程]