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International Journal of Theoretical Physics

, Volume 55, Issue 3, pp 1741–1752 | Cite as

The New Multipartite Squeezing Operator and Some of its Properties

  • Cui-hong Lv
  • Xu Feng
  • Qing-yi Cui
Article
  • 86 Downloads

Abstract

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 

Notes

Acknowledgments

Work supported by the National Natural Science Foundation of China (NO. 11304126), the Natural science Foundation of Jiangsu Province (NO. BK20130532), the Natural science fund for colleges and universities in Jiangsu Province (NO. 13KJB140003) and the Postdoctoral Science Foundation of China (NO. 2013M541608), the Postdoctoral Science Foundation of Jiangsu Province (NO. 1202012B).

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Faculty of ScienceJiangsu UniversityZhenjiangChina

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