Generalized multi-mode bosonic realization of theSU(1, 1) algebra and its corresponding squeezing operator
Hong‐Chun Yuan, Heng-Mei Li, Hong-Yi Fan · Journal of Physics A Mathematical and Theoretical · 2010
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.