Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

WANG Zhong-Qing; ZHOU Ping; ZHU Lian-Xuan; DAI Hong-Ying

Chinese Physics C> 2004, Vol. 28> Issue(4) : 365-369

Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

College of Optical and Electronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China

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Abstract：
The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.

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WANG Zhong-Qing, ZHOU Ping, ZHU Lian-Xuan and DAI Hong-Ying. Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties[J]. Chinese Physics C, 2004, 28(4): 365-369.

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Received: 2003-07-24
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

Corresponding author: WANG Zhong-Qing,

College of Optical and Electronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China

Received Date: 2003-07-24

Accepted Date: 1900-01-01

Available Online: 2004-04-05

Abstract: The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.

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Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

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