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Journal of Qufu Normal University

ENTROPIC SQUEEZING PROPERTIES OF EVEN AND ODD COHERENT STATES

Yongping Li, Yun‐Jie Xia

Published Jan 1, 2004• 0 citations
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Abstract

The position and momentum entropic squeezing of even and odd coherent states are studied. The relations between the two entropic squeezings and the two quadrature components squeezing are also discussed. The results show that even and odd coherent state exhibits both position and momentum entropic squeezing, which is different from the standard deviations squeezing.

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The position and momentum entropic squeezing of even and odd coherent states are studied. The relations between the two entropic squeezings and the two quadrature components squeezing are also discussed. The results show that even and odd coherent state exhibits both position and momentum entropic squeezing, which is different from the standard deviations squeezing.
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The higher-order squeezing and quasiprobability distribution function of even and odd coherent states are studied in this paper. The results show that the properties of higher-order squeezing of the two states exclude each other, and characteristic functions and Wigner functions are all not gaussian. Particularly, Wigner functions can not be perseved positive define. Quasiprobability density (QPD) of the two states are neither "elliptic" nor "crescent", but are two-petal-like shape, which shows that squeezing type can not be represented by the QPD figure of a state.
In this paper the superpositions of two arbitrary coherent states |Ψ〉 = a |β〉 + b e iϕ |mβe iδ 〉 are constructed by using the superposition principle of quantum mechanics. The entropic squeezing effects of the quantum states are studied. The numerical results indicate that the amplitudes, the ratio between the amplitudes of two coherent states, the phase difference between the two components and the relative phase of the two coefficients play important roles in the squeezing effects of the position entropy and momentum entropy.