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理论物理通讯：英文版

Quantum Properties of Two-Mode Squeezed Even and Odd Coherent States

Zhang, Jing, Wu, Wei, Meng, Shao-Ying

Published Jan 1, 2007• 1 citation
OpenAlex

Abstract

量状态的二种新类型被使用操作员构造(尉)= exp (尉 ~*ab -尉 a b ) 在二模式的平、奇怪的协调状态上。数学并且量如此的状态的统计性质被调查。这些状态的各种各样的非古典的特征例如挤压性质，内部模式的光子 bunching，和违背 ofCauchy—Schwarz 不平等，被讨论。处于这些状态的 Wigner 功能详细被学习。

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The Property of Generalized Nonlinear Equal-power Sum in Unequalled-intensity Unsymmetrical Superposition State

Wang Ju-xia

In this paper it is constructed a new type of unequalled-intensity unsymmetric multi-mode superposition state light field│Ψ (ab) 〉 q ,which is made of the linear superposition of macro scopically distinct two quantum states named the multi-mode imaginary conjugate coherent state│iZ j(a)  〉 q and the contrary state of multi -mode imaginary conjugate coherent state│iZ j(a)  〉 q respectively.By using the general theory of multi-mode squeezed state,the property of generalized nonlinear equal-power N-th power H-squeezing of the state│Ψ (ab) 〉 q mentioned above is studied firstly in detail.It is found that:(1).In the case of if Z j(a) ≠Z j(b) ,whether the q·N,the products of the cavity-mode number q and the squeezed power number N,is an even or odd number,the state│Ψ (ab) 〉 q can always presents equal-power N-th power H-squeezing effect.(2).When Z j(a) =Z j(b) and q·N is an odd number,the state│Ψ (ab) 〉 q can present the phenomenon of equal-power N-th power H-squeezing degenerate.

•Jan 1, 2003•0 citations
量状态的二种新类型被使用操作员构造(尉)= exp (尉 ~*ab -尉 a b ) 在二模式的平、奇怪的协调状态上。数学并且量如此的状态的统计性质被调查。这些状态的各种各样的非古典的特征例如挤压性质，内部模式的光子 bunching，和违背 ofCauchy—Schwarz 不平等，被讨论。处于这些状态的 Wigner 功能详细被学习。
在这篇论文，二模式的激动的挤压的真空状态(TESVS ) 被使用统计方法学习。由计算 TESVS 的正规化， Jacobi 多项式和一些新身份的一种新形式被获得。TESVS 的光子数字分发被给，它是 Jacobi 多项式的一种简单形式。用 Wigner 操作员的纠缠的州的表示， TESVS 的 Wigner 功能是 obtainded 和有参数 m， n，和 r 的 Wigner 功能的变化被讨论。这里，从阶段空间观点， TESVS 能很好被解释并且描述。
In this paper it is constructed a new type of unequalled-intensity unsymmetric multi-mode superposition state light field│Ψ (ab) 〉 q ,which is made of the linear superposition of macro scopically distinct two quantum states named the multi-mode imaginary conjugate coherent state│iZ j(a)  〉 q and the contrary state of multi -mode imaginary conjugate coherent state│iZ j(a)  〉 q respectively.By using the general theory of multi-mode squeezed state,the property of generalized nonlinear equal-power N-th power H-squeezing of the state│Ψ (ab) 〉 q mentioned above is studied firstly in detail.It is found that:(1).In the case of if Z j(a) ≠Z j(b) ,whether the q·N,the products of the cavity-mode number q and the squeezed power number N,is an even or odd number,the state│Ψ (ab) 〉 q can always presents equal-power N-th power H-squeezing effect.(2).When Z j(a) =Z j(b) and q·N is an odd number,the state│Ψ (ab) 〉 q can present the phenomenon of equal-power N-th power H-squeezing degenerate.