相干态的叠加态的量子统计性质

本文研究了相干态的叠加态的量子统计性质.结果表明,相干态的叠加态仅存在奇次幂的高阶压缩效应,而不存在偶次幂的高阶压缩效应.给出了高阶压缩和高阶反聚束效应与叠加系数间的函数关系.高阶压缩要求叠加系数的辐角取值满足cosθ>exp(-2|α|²),而高阶反聚束效应则要求0.5π<θ<1.5π.奇偶相干态的有关结果均作为特例应包含在本文的一般结论之中.

QUANTUM STATISTICAL PROPERTIES OF SUPERPOSITION STATES OF COHERENT STATES

In this paper,quantum statistical properties of superposition states of coherent states are studied Odd-order power squeezing effect can appear in superposition states of coherent state,but even order power squeezing effect cannot in it The function relation between higher-order squeezing and superposition coefficient are obtained,the condition of higher-order squeezing is cosθ> -exp(-2|α|²) The function relation between antibunching effect and superposition coefficient are presented,the condition of antibunching effect is 0.5π<θ<1.5π The relevant results of even and odd coherent states are contained in more general conclusions of this paper as special cases.