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理论物理通讯:英文版

Wigner Function and Phase Probability Distribution of q-Analogue of Squeezed One-Photon State

Meng, Xiangguo, Wang, Ji-Suo, Liang Liang, Bao-Long

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

在这篇论文,以在操作员的一个订的产品(IWOP ) 和使 q 变形的歼灭的逆的性质以内的集成的技术,挤压的一个光子状态的 normalizable q 类似物,它与一个相当不同由歌和扇子介绍了[Int。J。Theor。Phys。41 (2002 ) 695 ] ,被构造。而且, Wigner 功能和挤压的一个光子状态的 q 类似物的阶段概率分发被检验。

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Wigner Function and Phase Probability Distribution of q -Analogue of Squeezed One-Photon State

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In this paper, in terms of the technique of integration within an ordered product (IWOP) of operators and the properties of the inverses of q-deformed annihilation and creation operators, normalizable q-analogue of the squeezed one-photon state, which is quite different from one introduced by Song and Fan [Int. J. Theor. Phys. 41 (2002) 695], is constructed. Moreover, the Wigner function and phase probability distribution of q-analogue of the squeezed one-photon state are examined.

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理论物理通讯:英文版•Jan 1, 2008•1 citation
在这篇论文,以在操作员的一个订的产品(IWOP ) 和使 q 变形的歼灭的逆的性质以内的集成的技术,挤压的一个光子状态的 normalizable q 类似物,它与一个相当不同由歌和扇子介绍了[Int。J。Theor。Phys。41 (2002 ) 695 ] ,被构造。而且, Wigner 功能和挤压的一个光子状态的 q 类似物的阶段概率分发被检验。
我们发现一个新κ-参数挤压了协调州的| p , q > _κ 表示,它拥有行为优良特征,即,它的 Wigner 功能“ s 边缘的分发在”q方向“并且在里面”p方向“是 Gaussian 形式 exp {-κ(q''- q )~ 2 },并且 exp {( p ”-p)~2/κ},分别地。基于这, | p 的 Husimi 功能, q > _ κ也被获得,它是 Gaussian 拓宽 Wigner 功能的版本。| p, q > _ κ状态为学习 Husimi 操作员的各种各样的性质提供一个好代表性的空格。
Othman and Yevick [Int. J. Theor. Phys. 57, 2293 (2018)] introduced a new class of states defined as “near” coherent states attached to the simple harmonic oscillator. Such states can be expressed as superposition of a standard coherent state and a derivative state, which are neither completely quantum nor completely classical. Here, we introduce photon-added (-depleted) near coherent states [PA(D)NCS] through “m” times application of creation (annihilation) operators â†(â) to the near coherent state. A general analysis of nonclassical properties of the PA(D)NCS, such as sub-Poissonian statistics and squeezing effect, is given analytically and numerically in the context of the conventional quantum optics. We also derive the Wigner distribution function of the PA(D)NCS over phase space which may bear negative values, which is a good indication of their nonclassical properties. Finally, an experimental procedure for generating the PA(D)NCSs is established.