非简谐振子湮灭算符高次幂b^N—本征态的量子统计性质

Quantum Statistic Properties of the Eigenstates of the Annihilation Operator b N - of a Non harmonic Oscillator

本文研究了非简谐振子湮灭算符高次幂ｂＮ－（Ｎ≥２）本征态的量子统计性质。结果表明，仅当Ｎ为偶数时，它们才存在Ｎ（２ｍ＋１）２（ｍ＝０，１，２，…）次方压缩，并给出了压缩条件；当Ｎ为任意数时，它们均可呈现反聚束效应。

Quantum statistic properties of the eigenstates of the annihilation operator b N - (N≥2) of an non harmonic oscillator are studied. The results show that the eigenstates have M order M=N(2m+1)2 m=0,1,2,… squeezing only when N is oven. The condition of squeezing are presented. It is also show that the antibunching effect exists when N is arbitrary.