一类q变形广义相干叠加态的量子统计性质

The quantum statistical properties of a class of superposed q-deformed generalized coherent states

研究了一类q变形广义相干态叠加态ψ〉=aβ〉+beiφβeiδ〉的量子统计性质,结果表明此种叠加态普遍存在压缩效应和光子反群聚效应。相干态间的位相差,叠加系数的位相差和广义相干态之间内积的幅值和位相的变化对迭加态的压缩效应和反群聚效应起着重要的作用。

In this paper, the quantum statistical properties of a class of superpozed q-deformed generalized eoherent states ｜ψ〉=a｜β〉＋be^iφ｜βe^iδ〉 are studied. The results show that the superpesition of q-deformed coherent generalized states generally exhibits squeezing and anti-bunching effects. The change of the phase difference between two generalized coherent states, the phase difference between two superposition coefficients, and both the amplitude and phase of the inner product of two generalized coherent states play important roles in squeezing effect and anti-bunching effect.