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

Abstract：

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 r², 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 r² 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.