韦尔-海森堡代数相干态的𝒜κ<0统计特性

IF 1.5 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Modern Physics Letters A Pub Date : 2024-04-08 DOI:10.1142/s021773232450024x

M. Alaoui, E. Mouhaoui, B. Maroufi, M. Daoud

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引用次数: 0

摘要

本文研究单参数κ广义振荡器代数𝒜κ（包括标准韦尔-海森堡代数的情况）。对于参数κ的负值，该代数允许有限维的表示。我们构建了相关的佩雷洛莫夫相干态。我们讨论了它们的统计特性。特别是，我们推导了曼德尔参数和胡西米函数的表达式，并讨论了𝒜κ相干态的挤压问题。

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Statistical properties of the 𝒜κ<0 Weyl–Heisenberg algebra coherent states

In this paper, we study the one-parameter $κ$ -generalized oscillator algebra $𝒜_{κ}$ (which includes the case of the standard Weyl–Heisenberg algebra). This algebra admits representations of finite-dimensional for negative values of the parameter $κ$ . We construct the associated Perelomov like coherent states. We discuss their statistical properties. In particular, we derive the expressions of the Mandel parameter and Husimi function and we discuss the squeezing of the $𝒜_{κ}$ coherent states.

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来源期刊

Modern Physics Letters A 物理-物理：核物理

CiteScore

3.10

自引率

7.10%

发文量

186

审稿时长

3 months

期刊介绍： This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.