AnN-mode squeezed vacuum state in Fock space as an entangled state

Gang Ren, Jiangang Qi, Song Tong-Qiang · Journal of Physics A Mathematical and Theoretical · 2007

Using the technique of integration within the ordered product (IWOP) of operators, we show that the operator U = exp [i r (∑ n −1 i =1 Q i P i +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.

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