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Chinese Physics C

Nonclassical Properties of the Superposition of the qs-Coherent State

Chen Chang

Published Jan 1, 2001• 1 citation
OpenAlex

Abstract

In this paper, the superposition of the qs coherent states is constructed, and its nonclassical properties such as squeezing property, antibunching effect are studied. The effects of the superposition coefficient and deformed parameter q and s variables on these nonclassical properties are discussed by making use of numerical calculation. The relevant results of the even and odd qs coherent states, as special cases, are contained in more general conclusion of this paper.

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In this paper, the superposition of the qs coherent states is constructed, and its nonclassical properties such as squeezing property, antibunching effect are studied. The effects of the superposition coefficient and deformed parameter q and s variables on these nonclassical properties are discussed by making use of numerical calculation. The relevant results of the even and odd qs coherent states, as special cases, are contained in more general conclusion of this paper.
In this paper, we use the numerical method to study the influences of and deformations on the quantum statistical properties of even and odd qs-coherent states. It is shown that nonclassical properties of the even and odd qs-coherent states are very different from those of the usual even and odd coherent states. It is found that squeezing and antibunching effect appear for both even and odd qs-coherent states in some range of the parameters , and . The smaller the and are, the larger the difference between the even and odd qs-coherent states and the usual even and odd coherent states is.
The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.