一种新的奇偶非线性相干态及其量子统计性质

A new kind of even and odd nonlinear coherent states and their quantum statistical properties

定义了一种新的奇偶非线性相干态即算符B2 [B =a f(N) ]的两个正交归一本征态 ,利用数值计算方法研究了它们的量子统计性质 .结果表明 ,与通常的奇偶相干态不同 ,在参数 |β|变化的某些范围内 ,只有偶非线性相干态可以存在压缩效应 。

A new kind of even and odd nonlinear coherent states are defined. Using the numerical method, we have studied quantum statistical properties of the new even and odd nonlinear coherent states. It is shown that quantum statistical properties of the new even and odd nonlinear coherent states are very different from those of the usual even and odd coherent states. It is found that, in some ranges of 1beta1, the squeezing only exists in the new even nonlinear coherent state, and the amplitude-squared squeezing and antibunching effect appear for both new even and odd nonlinear coherent states.