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The New Multipartite Squeezing Operator and Some of its Properties

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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.

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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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Authors and Affiliations

  1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

    Cui-hong Lv, Xu Feng & Qing-yi Cui

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  1. Cui-hong Lv
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  2. Xu Feng
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  3. Qing-yi Cui
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Correspondence to Cui-hong Lv.

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Lv, Ch., Feng, X. & Cui, Qy. The New Multipartite Squeezing Operator and Some of its Properties. Int J Theor Phys 55, 1741–1752 (2016). https://doi.org/10.1007/s10773-015-2814-9

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  • DOI: https://doi.org/10.1007/s10773-015-2814-9

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