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Chinese Physics Letters

Physics of a Kind of Normally Ordered Gaussian Operators in Quantum Optics

范洪义, 李洪奇

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

在我们调查的操作员的一个订的产品以内基于集成的技术纯状态的一种完全性关系(例如并列 eigenstate,动量 eigenstate 和协调状态) 进通常订的 Gaussian 形式。在类似转变下面订不变性的 Weyl 被采用揭示一种通常订的 Gaussian 操作员的物理意思,它在统计有类似的形式到双性人变量正常分布,即, ther 瞬间混合州的密度矩阵。

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在我们调查的操作员的一个订的产品以内基于集成的技术纯状态的一种完全性关系(例如并列 eigenstate,动量 eigenstate 和协调状态) 进通常订的 Gaussian 形式。在类似转变下面订不变性的 Weyl 被采用揭示一种通常订的 Gaussian 操作员的物理意思,它在统计有类似的形式到双性人变量正常分布,即, ther 瞬间混合州的密度矩阵。
在我们表明了的操作员的一个订的产品以内基于集成的技术那个单个模式的混合状态的密度矩阵能被重做进通常订的 Gaussian 形式[下巴。Phys。Lett。24 (2007 ) 3322 ] 。这里,我们采用在类似的转变下面订不变性到有包含的纠纷的一些二模式的混合状态能通常被放进的表演的 Weyl 在 bivariate 正常分发的征订表也并且它的边缘的分布能被分析。这样,量统计的密度操作员能类似于数学统计,并且变化的计算能被简化。[从作者抽象]
Based on the technique of integration within an ordered product of operators we investigate a completeness relation of pure states (such as the coordinate eigenstate, the momentum eigenstate and the coherent state) into normally ordered Gaussian forms. The Weyl ordering invariance under similarity transformations is employed to reveal physical meaning of a kind of normally ordered Gaussian operators, which have the similar forms to the bivariate normal distributions in statistics, i.e., the thermo mixed state density matrix.