An N-mode squeezed vacuum state in Fock space as an entangled state

作者:Ren Gang*; Qi Jiangang; Song Tong Qiang
来源:Journal of Physics A-Mathematical and Theoretical, 2007, 40(33): 10311-10318.
DOI:10.1088/1751-8113/40/33/022

摘要

Using the technique of integration within the ordered product ( IWOP) of operators, we show that the operator U = exp[ir(Sigma(n-1)(i=1) Q(i) Pi+1 + Q(n) P-1)] is an N- mode squeezing operator for the N- mode quadratures exhibiting the standard squeezing. The corresponding squeezed vacuum state in N- mode Fock space is derived, and the entanglement involved in such a state is also explained. We present an optical network for producing the N- mode squeezed state.