qs变形非简谐振子奇偶广义相干态及其量子统计特性

Even and odd generalized qs-coherent states of non-harmonic oscillator and their quantum statistics properties

利用变换算符导出了qs变形的非简谐振子代数,得到了qs变形非简谐振子光场的广义相干态,研究了qs变形非简谐振子奇偶广义相干态的高阶压缩效应和反聚束效应,并用数值计算方法讨论了变形参数q和s对这些量子统计特性的影响。结果表明,qs变形非简谐振子奇偶广义相干态均可呈现奇次方阶压缩效应和反聚束效应,当q和s取一定值时,在qs变形非简谐振子光场强度取值的一定范围内,呈现这些非经典特性的范围随着q偏离1越大和s取值越小而变大。

By using the transforming operators, the qs-deformation of the non-harmonic oscillator algebra is obtained. Based on the algebra, the qs-deformation of generalized coherent states are introduced. Then, the higher-order squeezing and antibunching effects for the odd and even generalized qs-coherent states of the non-harmonic oscillator are investigated. The numerical value method is used to study the inference of the two parameters q and s on these effects. It is shown that the odd and even generalized qs-coherent states of the non-harmonic oscillator exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. These quantum statistics properties can be shown in a number of intervals alternately when x, which reflects the intensity of the light field in the two-parameter deformed coherent states, is changed. The larger the of parameter q deviated from 1 and the smaller of parameter s.The larger intervals presenting nonclassical properties become .