有限维希尔伯特空间非简谐振子广义相干态

在有限维希尔伯特空间中构造了非简谐振子的广义相干态，并研究了其量子统计特性。详细地讨论了该量子态的压缩效应和反聚束效应，得到了出现压缩的条件并给陋了反聚束效应与有限维希尔伯特空间维数关系的数值计算结果。理论计算表明该量子态存在压缩效应和反聚束效应，这与通常的无限维空间中的广义相干态是完全不同的。

Generalized Coherent States of a Non-Harmonic Oscillator in a Finite-Dimensional Hilbert Space

Generalized coherent states of a non harmonic oscillator in a finite dimensional Hilbert space are constructed and some quantum statistical properties are studied. Their squeezing effect and antibunching effect are discussed in detail. The condition of squeezing is found, and the relation between antibunching effect and the dimensionality of the Hilbert space is shown by using numerical calculation. Theoretical calculation shows that the coherent states present squeezing effect and antibunching effect, and these quantum statistical properties are very different from those of usual generalized coherent states in infinity dimensional Hilbert space.