单双模连续压缩真空态及其量子统计性质

摘要

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.%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.