一种基于Weyl-Wigner对应规则显解压缩态的方法  

An Approach for Deriving the Explicit Form of Squeezed State by Virtue of the Weyl-Wigner Correspondence Scheme

作　　者：李恒梅[1] 袁洪春[2] 熊超[2] 陈磊[2] 

机构地区：[1]常州工学院理学院,江苏常州213002 [2]常州工学院光电工程学院,江苏常州213002

出　　处：《常州工学院学报》2012年第4期41-44,共4页Journal of Changzhou Institute of Technology

基　　金：常州工学院校级科研基金项目(YN1007;YN1106)

摘　　要：理论上,压缩态是通过压缩算符作用于某态而得到的。由于算符之间不对易,一般不能直接得到相应压缩态的具体形式。文章提出一种显解压缩态的方法,即采用Weyl-Wigner对应规则导出单模、双模压缩态的具体形式。该方法避免了繁冗的算符排序和分解,也可推广到求解广义的多模情况。Squeezed state is theoretically obtained by performing the squeezing operator on an initial state.Due to non-commutable operators each other,it is not easy to directly obtain the explicit expression of squeezed state.Here,a general approach is provided for deriving the squeezed state′s explicit form,namely,by virtue of the Weyl-Wigner correspondence scheme the explicit forms of single-mode and two-mode squeezed state is obtained,respectively.Without disentangling the squeezing operator,this adopted method is applicable to explicitly solve the general multimode case.

关 键 词：Weyl编序 Wigner算符 压缩算符 压缩态 

分 类 号：O431.2[机械工程—光学工程]