The quantum statistical properties of a class of superposed q-deformed generalized coherent states

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Abstract
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.

Keywords:
q-deformed /

generalized coherent state /

squeezing effect /

anti-bunching effect
Authors and contacts
Ren Min¹,

Ma Ai-Qun⁴,

Muhammad Ashfaq Ahmad²,

Zeng Ran²,

Liu Shu-Tian²,

Ma Zhi-Min³

(1)广州大学工程抗振中心，广州 510405; (2)哈尔滨工业大学应用物理系，哈尔滨 150001; (3)哈尔滨师范大学呼兰学院物理系，哈尔滨 150050; (4)黑龙江大学物理科学与技术学院，哈尔滨 150080；广州大学城建学院，广州 510905；哈尔滨工业大学应用物理系，哈尔滨 150001
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