The New Multipartite Squeezing Operator and Some of its Properties

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• 作者：Cui-hong Lv ; Xu Feng ; Qing-yi Cui
• 关键词：Squeezing operator ; Multipartite entangled state ; Wigner function
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：55
• 期：3
• 页码：1741-1752
• 全文大小：240 KB
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• 作者单位：Cui-hong Lv (1)
  Xu Feng (1)
  Qing-yi Cui (1)
  
  1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

In this paper, we introduce a pair of mutually conjugate multipartite entangled state representations for defining the squeezing operator of entangled multipartite S _n (λ) which involves an n-mode bosonic operator realization of the SU(1,1) Lie algebra. This operator squeezes the multipartite entangled state in a natural way. We discuss the transform properties of a _j and \(a_{j}^{\dagger }\) under the operation of S _n (λ) and derive the interaction Hamiltonian which can generate such an evolution. In addition, the corresponding multipartite squeezed vacuum state |λ〉 is obtained. Based on this, the variances of the n-mode quadratures in |λ〉 are evaluated and the violation of the Bell inequality for |λ〉 is examined by using the formalism of Wigner representation. Keywords Squeezing operator Multipartite entangled state Wigner function