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Journal of Jishou University

A New Kind of Optical Field of q-Deformed Superposition States and Their Properties

Zhu Cong-xu

Published Jan 1, 2000• 0 citations
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Abstract

The Superposition States,which are composed of the q-coherent states and q-vacuum states,are presented,and its Quantum Statistic Properties are discussed.The ordinary squeezing and q-squeezing are discussed.The results of Superposition of coherent states and vacuum states are contained in the more general conclusion of this paper as special cases.

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Acta Physica Sinica•Jan 1, 2007•0 citations
The Superposition States,which are composed of the q-coherent states and q-vacuum states,are presented,and its Quantum Statistic Properties are discussed.The ordinary squeezing and q-squeezing are discussed.The results of Superposition of coherent states and vacuum states are contained in the more general conclusion of this paper as special cases.
Based on the quantum superposition principle,we construct a new type of superposition composed of coherent state and squeezed state |φ=N(|α+eiφ|βg);and study its squeezing effect and photon anti-bunching effect.The results show that this kind of superposition exhibits fluent quantum properties.When superposed as even/odd coherent states,the superposition exhibits some properties of both even/odd coherent states and squeezed even/odd coherent states.The even/odd coherent and coherent state can be obtained as a special case when the squeezed factor r is zero.
In this paper, the quantum statistical properties of a class of superposed q-deformed generalized coherent states |ψ>=a|β>+beiφ|βeiδ> are studied. The results show that the superposition of q-deformed coherent generalized states generally exhibits squeezing and anti-bunching effects. The change of the phase difference between two generalized coherent states, the phase difference between two superposition coefficients, and both the amplitude and phase of the inner product of two generalized coherent states play important roles in squeezing effect and anti-bunching effect.