q-形变振幅相干态的非经典效应

Nonclassical Effect of q-deformation Amplitude Coherent States

运用数值计算方法研究了迭加系数、形变参数对q-振幅相干态|ψ〉q的量子统计性质的影响,发现q-形变振幅相干态与通常的振幅相干态有着显著不同的量子统计性质.在0<q<∞的整个范围内,当q=1时,此态退化为普通的振幅相干态,它在光场的某些区域出现压缩效应,无反聚束效应和亚泊松分布;当q≠1时,随着形变增大,在出现压缩效应的区域内,压缩效应逐渐减小,反聚束和聚束效应交替出现,且随形变的增大而增大.无论q取何值均无亚泊松分布出现.

By using the influences of the superposition coefficient and deformed parameter on these quantum statistic properties of the amplitude coherent states are studied by a numerical calculation method.It is shown that the nonclassical properties of q-deformation amplitude coherent states are very different from those of the usual amplitude coherent states.On the whole range 0<q<∞,the squeezing properties appeared in some range of the light field,and antibunching properties and subpoisson distribution disappeared,in the q=1 limit as the usual amplitude coherent states.With the q-deformention increasing,squeezing properties of the superposed states are weakened,and both antibunching properties and bunching properties are shown in turn,and the subpoisson distribution does not exist yet in the q≠1.