| 一种基于Weyl-Wigner对应规则显解压缩态的方法 |
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| 引用本文： | 李恒梅,袁洪春,熊超,陈磊. 一种基于Weyl-Wigner对应规则显解压缩态的方法[J]. 常州工学院学报, 2012, 0(4): 41-44 |
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| 作者姓名： | 李恒梅 袁洪春 熊超 陈磊 |
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| 作者单位： | 常州工学院理学院;常州工学院光电工程学院 |
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| 基金项目： | 常州工学院校级科研基金项目(YN1007;YN1106) |
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| 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。
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| 关 键 词： | Weyl编序 Wigner算符 压缩算符 压缩态 |
An Approach for Deriving the Explicit Form of Squeezed State by Virtue of the Weyl-Wigner Correspondence Scheme |
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| LI Heng-mei,YUAN Hong-chun,XIONG Chao,CHEN Lei. An Approach for Deriving the Explicit Form of Squeezed State by Virtue of the Weyl-Wigner Correspondence Scheme[J]. Journal of Changzhou Institute of Technology, 2012, 0(4): 41-44 |
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| Authors: | LI Heng-mei YUAN Hong-chun XIONG Chao CHEN Lei |
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| Affiliation: | 1.School of Science,Changzhou Institute of Technology,Changzhou 213002; 2.School of Optoelectronic Engineering,Changzhou Institute of Technology,Changzhou 213002) |
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| Abstract: | 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. |
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| Keywords: | Weyl-ordering Wigner operator squeezing operator squeezed state |
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