有限维谐振子奇相干态振幅平方压缩特性的数值研究

Numerical Studies on the Amplitude-squared Squeezing Properties of Odd Coherent States in a Finite-dimensional Hilbert Space

运用数值计算方法研究了有限维希尔伯特（Ｈｉｌｂｅｒｔ）空间谐振子奇相干态的振幅平方压缩特性．研究表明，在有限维情景，奇相干态存在振幅平方压缩效应，并展现了与通常无限维奇相干态截然不同的振幅平方压缩特性；而当维数足够大时，与通常奇相干态的结果趋于一致．

The amplitude-squared squeezing of odd coherent state in a finite-dimensional Hilbert spaces (FDHS) case are studied by numerical method. It is found that amplitude-squared squeezing properties exist in these states, and the properties are different from those of usual odd coherent states. but the results tend to those of usual odd coherent states when the number of dimension tend to ∞.