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Communications in Theoretical Physics

Multimode Boson Realization of SU(1,1) Lie Algebra Gained via IWOP Technique

Hong-Yi Fan, Yue Fan

Published Jan 30, 1997• 2 citations
Publisher

Abstract

We show that the technique of integration within an ordered product (IWOP) of operators provides us with an approach for deriving the disentangling of the multimode boson realization of SU(1,1) coset element. A new type of generalized squeezed states can thus be constructed.
DOI
10.1088/0253-6102/27/1/105

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By constructing a generalized multi-partite entangled state representation and introducing the ket-bra integral in this representation, we find a new set of generalized bosonic realization of the generators of the SU (1, 1) algebra, which can compose a generalized multi-mode squeezing operator. This operator squeezes the multi-partite entangled state in a natural way. Then the corresponding multi-mode squeezed vacuum states | r ⟩ is obtained. Based on this, the variances of the n -mode quadratures and the higher-order squeezing in | r ⟩ are evaluated. In addition, we examine the violation of the Bell inequality for | r ⟩ by using the formalism of Wigner representation.