压缩相干态Wigner函数的研究  

Wigner Function of Squeezed Coherent States

作　　者：王震[1] 李恒梅[1] 万志龙[1] 

机构地区：[1]常州工学院数理与化工学院,江苏常州213032

出　　处：《常州工学院学报》2016年第5期50-52,共3页Journal of Changzhou Institute of Technology

基　　金：江苏省教育厅高校自然科学研究面上项目(14KJD140001;16KJB140001);常州工学院科研基金项目(YN1310)

摘　　要：借助于由有序算符内的积分技术与Weyl编序下相似变换不变性以及Weyl-Wigner量子化方案导出的密度算符,解析推导出了Yuen压缩相干态和Stoler压缩相干态相对应的Wigner函数。通过解析推导以及数值对比可以发现,这两类压缩相干态Wigner函数存在差异,这种差异为进一步理解两种压缩相干态的特性提供了新的视角。Wigner functions corresponding to the Yuen and Stoler squeezed coherent states are obtained respectively by virtue of the density operator derived by the technique of integration within an ordered prod- uct of operators, the invariance in similarity transformation, and the Weyl-Wigner quantization scheme. By an analytical derivation and a numerical comparison, it can be found that there exists significant difference in the two types of Wigner functions, and it provides a new perspective to a deeper understanding of the character- istics of the two kinds of squeezed coherent states.

关 键 词：正规乘积 压缩相干态 WIGNER函数 

分 类 号：O431.2[机械工程—光学工程]