单双模连续压缩真空态及其量子统计性质  

One- and two-mode successively squeezed state and its statistical properties

作　　者：袁洪春[1] 徐学翔[2] 

机构地区：[1]常州工学院光电工程学院,常州213002 [2]江西师范大学物理与通信电子学院,南昌330022

出　　处：《物理学报》2012年第6期230-237,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11174114);常州工学院自然科学研究计划(批准号:YN1106);江西省教育厅科学技术研究计划(批准号:GJJ12171;GJJ11390)资助的课题~~

摘　　要：利用有序算符内的积分技术研究了通过双模压缩算符作用于两个单模压缩态上得到的单双模连续压缩态.导出了单双模连续压缩算符的正规乘积形式,并在此基础上研究了单双模连续压缩真空态的量子统计性质.特别是利用Weyl编序算符在相似变换下的不变性,简洁地导出了单双模连续压缩真空态的Wigner函数.最后,还简单地提出了单双模连续压缩真空态的实验产生方案.One- and two-mode successively squeezed state, obtained through re-squeezing two single mode squeezed states by the two-mode squeezing operator, is studied in terms of the technique of integration within an ordered product （IWOP） of operators. We first derive the normally ordered form of this one- and two-mode successively squeezing operator, and then investigate the quantum statistical properties of the corresponding squeezed state. Particularly, we use the Weyl ordering invariance under a similar transformation to derive the analytical expression of its Wigner function, which seems very easy and concise. Finally, the experimental generation of one- and two-mode successively squeezed state is also proposed simply.

关 键 词：单双模连续压缩算符 压缩效应 WIGNER函数 有序算符内的积分技术 

分 类 号：O431.2[机械工程—光学工程]