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理论物理通讯：英文版

q-Deformed Entangled States Representations and Some Applications

许业军, 宋军, 袁洪春, 刘秋宇

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

使 q 变形的纠缠的状态被使用为使 q 变形的波色子振荡器真空设计操作员订的变丑量子化方法和新正常介绍。以类似的方法，由在操作员的一个订的产品(IWOP ) 以内的集成的技术的优点，新完全性和 orthogonality 关系互相乳罩和 ket 创作了，它不是 Hermitian 结合被获得。而且，挤压由使 q 变形的纠缠的状态代表的操作员的性质被展出。最后，使 q 变形的二模式的挤压的真空状态的 nonclassical 性质被学习。

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使 q 变形的纠缠的状态被使用为使 q 变形的波色子振荡器真空设计操作员订的变丑量子化方法和新正常介绍。以类似的方法，由在操作员的一个订的产品(IWOP ) 以内的集成的技术的优点，新完全性和 orthogonality 关系互相乳罩和 ket 创作了，它不是 Hermitian 结合被获得。而且，挤压由使 q 变形的纠缠的状态代表的操作员的性质被展出。最后，使 q 变形的二模式的挤压的真空状态的 nonclassical 性质被学习。
qqq -deformed Hermite polynomials in qqq -quantum mechanics
The q-deformed entangled states are introduced by using deformation quantization methods and new normal ordering of the vacuum projection operator for q-deformed boson oscillator. In similar way, by virtue of the technique of integration within an ordered product (IWOP) of operators, the new completeness and orthogonality relations composed of the bra and ket, which are not mutually Hermitian conjugates are obtained. Furthermore, the property of squeezing operator represented by the q-deformed entangled states is exhibited. Lastly, the nonclassical properties of the q-deformed two-mode squeezed vacuum state are studied.
The q-analogues of two-mode squeezed states are introduced by virtue of deformation quantization methods and the technique of integration within an ordered product (IWOP) of operators. Some new completeness relations about these squeezed states composed of the bra and ket which are not mutually Hermitian conjugates are obtained. Furthermore, the antibunching effects of the two-mode squeezed vacuum state S'2(r) |00〉 are investigated. It is found that, in different ranges of the squeezed parameter r, both modes of the state exhibit the antibunching effects and the two modes of the state are always nonclassical correlation.