Photon higher-order squeezing effects of the q analogue of a single-mode field interacting with a -type three-level atom

The nonlinear theory of interaction between the q analogue of a single-mode field and a Ξ-type threelevel atom has been established. And the formal solution of the Schrodinger equation in the representation and its average number are obtained. Then, the photon squeezing effects are studied through numerical calculation. The results show that the q deformation nonlinear action has a lot of influence on the quantum coherence and quantum properties. When q approaches 1, the theory reduces to the common linear theory.

一种SU(2)q-形变迭加态的非经典效应

构造了SU(2)q-形变奇、偶相干态和q-形变光子数态0〉q和1〉q的相干迭加态,用数值计算的方法讨论了迭加系数、变形参数对非经典效应的影响.通过研究这种态的寻常非经典效应和q形变非经典效应,发现当q形变增大时,压缩效应均出现减小的趋势,反聚束效应和出现反聚束效应的R取值范围均增大.

单模压缩奇偶相干态的四次方压缩特性

用单模压缩算子作用在单模奇偶相干态上即可得到单模压缩奇偶相干态.本文研究了这类量子态的四次方压缩特性,结果表明单模压缩奇偶相干态存在很强的四次方压缩特性,并且压缩程度随着压缩参量r的增大而增强.

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．

正交相干态的非经典特性

本文研究了正交相干态的非经典特性．结果表明，正交相干态仅为光场振幅偶次幂的最小测不准态，无高阶压缩效应，但存在高阶反聚束效应和亚泊松分布．