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Journal of Fujian Normal University

Entropic Squeezing and Quadrature Squeezing for the Superposition State of the Vacuum and the Coherent State

Hongcai Li

Published Jan 1, 2004• 0 citations
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Abstract

The entropic squeezing and quadrature squeezing for the superposition state of the vacuum and the coherent state ｜α〉 is studied, and their relations is discussed. The results show that: if the parameter b and the coherent state's swing R are given different values, the entropic squeezing is content with the entropic uncertainty relation and the quadrature squeezing satisfies the Hersenberg uncertainty relation, what's more, both of them, the entropic squeezing is a more sensitive measure for the squeezing effect of the field.

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Journal of Dezhou University•Jan 1, 2003•0 citations
The entropic squeezing and quadrature squeezing for the superposition state of the vacuum and the coherent state ｜α〉 is studied, and their relations is discussed. The results show that: if the parameter b and the coherent state's swing R are given different values, the entropic squeezing is content with the entropic uncertainty relation and the quadrature squeezing satisfies the Hersenberg uncertainty relation, what's more, both of them, the entropic squeezing is a more sensitive measure for the squeezing effect of the field.
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.