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Optoelectronics Letters

New entangled state representation and its characteristics for the three compatible operators

卢道明

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

|的特徵向量集合( x ， r 1 ， r 2 )与三个兼容操作员( $\hat x_1 + \hat x_2 + \hat x_3$， $\hat p_2 + \hat p_3 - 2 \hat p_1$和 $\hat p_3 - \hat p_2$)被 Wigner 操作员和集成的技术的氡转变的优点在操作员的一个订的产品( IWOP )以内构造。它的纠纷性质然后被导出它的标准 Schmidt 分解揭示。|(x， r 1， r 2 ) 完成新量机械表示。一个新三模式的压榨操作员被使用这个纠缠的州的代表发现。

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|的特徵向量集合( x ， r 1 ， r 2 )与三个兼容操作员( x^1+x^2+x^3\hat x_1 + \hat x_2 + \hat x_3x^1​+x^2​+x^3​， p^2+p^3−2p^1\hat p_2 + \hat p_3 - 2 \hat p_1p^​2​+p^​3​−2p^​1​和 p^3−p^2\hat p_3 - \hat p_2p^​3​−p^​2​)被 Wigner 操作员和集成的技术的氡转变的优点在操作员的一个订的产品( IWOP )以内构造。它的纠纷性质然后被导出它的标准 Schmidt 分解揭示。|(x， r 1， r 2 ) 完成新量机械表示。一个新三模式的压榨操作员被使用这个纠缠的州的代表发现。
In the context of normal product, we use the method of the integration within an ordered product (IWOP) of operators to derive three representations of the two-mode Wigner operator: SU(2) symmetric description, SU(1,1) symmetric description and polar coordinate form. We find that two-mode Wigner operator has multiple potential degrees of freedom. As the physical meaning of the selected integral variable changes, Wigner operator shows different symmetries. In particular, in the case of polar coordinates, we reveal the natural connection between the two-mode Wigner operator and the entangled state representation.