双参数形变谐振子奇偶相干态的高阶压缩特性

Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States

研究了双参数qs形变谐振子奇偶相干态中光场的高阶压缩特性 ,并用数值计算方法定量研究了形变参数q和s对这一特性的影响规律 .结果表明 ,qs形变谐振子奇偶相干态均可能呈现奇次方阶压缩效应却无偶次方阶压缩效应 ,这与谐振子没有形变时的通常情况是不同的 .当q和s取一定值时 ,在qs形变相干态中谐振子强度r2 取值的一定范围内 ,这种反常特性的范围随着q偏离 1越大s取值越小而变大 .

The higher-order powers of squeezing properties of light field for odd and even two-parameter deformed-coherent states have been studied, and the numerical method is used to investigate the influence of the two parameters (q and s) on the properties. The results show that the odd and the even qs-deformed coherent states can exhibit odd number powers of squeezing but no even number powers of squeezing effects. These properties are different from those of the states of the conventional no-deformed light field. These effects can be shown in a number of intervals alternately when r 2, which reflects the intensity of the light field in two-parameter deformed coherent state, is changed. When the two parameters q and s are taken certain values and r 2 is taken value in a certain interval, the larger of parameter q which deviated from 1 and the smaller of parameter s, the intervals of the unusual properties become larger. The relevant results of the even and odd q-coherent states are contained in more general conclusion of this paper as special case.