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Acta Physica Sinica

EVEN AND ODD GENERALIZED COHERENT STATES IN THE NON HARMONIC OSCILLATOR POTENTIAL

XU ZI-WEN, 北京机械工业学院基础部

Published Jan 1, 1996• 4 citations
Publisher

Abstract

In this paper,the conception of even and odd coherent states is generalized to the nonharmonic oscillator potential. It is found that squeezing exists alternatively in the even and odd coherent states with the increase of the mean energy, and the squeezing of the quantum fluctuation of the natural coordinate in the time evolution has a period of π／２.

DOI
10.7498/aps.45.1807

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In this paper,the conception of even and odd coherent states is generalized to the nonharmonic oscillator potential. It is found that squeezing exists alternatively in the even and odd coherent states with the increase of the mean energy, and the squeezing of the quantum fluctuation of the natural coordinate in the time evolution has a period of π／２.
We used the numerical method to study nonclassical properties of the even and odd generalized coherent states and superposition states of generalized coherent states for an isotonic oscillator. The following was shown. (1) The quantum statistical properties of the even and odd generalized coherent states are very different from those of the usual even and odd coherent states, and the N th-order ( N = 2 m + 1, m = 0,1,2,...) squeezing and sub-Poisson distribution appear alternately for both the even and odd generalized coherent states in some ranges of z = |β| 2 . The weaker the isotonic oscillator potential, the narrower the ranges. (2) The superposition states of generalized coherent states may exhibit the N th-order squeezing effect too, and this kind of higher-order squeezing effect appears periodically.