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Journal of Fujian Normal University

Entropic Squeezing for the Superposition State of the Vacuum and the Fock State

Hongcai Li

Published Jan 1, 2004• 0 citations
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Abstract

The entropic squeezing for the superposition state of the vacuum and the Fock state |n is studied, and compared with the quadrature squeezing. The results show that: when the variance n=1,2, the superposition state is squeezing, and the entropic squeezing is more sensitive than quadrature squeezing for the squeezing effect of the field ; when n≥3, with the increasing of variance n, it isn't squeezing.

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The entropic squeezing for the superposition state of the vacuum and the Fock state |n is studied, and compared with the quadrature squeezing. The results show that: when the variance n=1,2, the superposition state is squeezing, and the entropic squeezing is more sensitive than quadrature squeezing for the squeezing effect of the field ; when n≥3, with the increasing of variance n, it isn't squeezing.
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.
All quantum states of light exhibit field fluctuation even in the vacuum state. There are many physical phenomena which result from vacuum fluctuation. The most prominent example is the spontaneous radiation. In quantum optics and laser physics people have succeeded in producing theoretically even a squeezed state of light that fluctuates at a lower noise level than the vacuum fluctuation. The application of squeezed light will provide new opportunities for high precision measurements. In the present work we consider the quantum superposition of state 0 1 01 y =a + b and work out the variances of the quadrature operators 1 ˆX and 2 ˆX . We have shown that for some values of parameters α and β, the quadrature variances become less than the vacuum fluctuation. This indicates the principle of manipulating vacuum.
The entropic squeezing properties of the field in the system of the cascade three-level atom interacting with superposition states field are studied.When the field is superposition state of |0〉 and |1〉,the results obtained using the numerical method indicate that the entropic squeezing properties of the field is closely related to the superposition coefficient φ and is influenced by the superposition coefficient.When φ is larger than 0 and smaller than π/2,with the increasing of the value of φ,the entropic squeezing properties of the field is getting stronger.
In this paper the displaced squeezed vacuum state is produced by application of displaced operator on squeezed vacuum state. With help of density operator we find Q function, with the Q function mean, variance and quadrature variance would be calculated. From this we can determine the system has superpoissonian statics, the squeezed parameter is direct proportion with both mean and variance of photon number, but inversely proportion with quadrature variance. The squeezing occurs in plus quadrature with the maximum squeezing of 99.7% for r=3.