The New Multipartite Squeezing Operator and Some of its Properties

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 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.