Symplectic Group Representation of the Two-Mode Squeezing Operator in the Coherent State Basis
Fan Hong-Yi, Junhua Chen · Communications in Theoretical Physics · 2003
We find that the coherent state projection operator representation of the two-mode squeezing operator constitutes a loyal group representation of symplectic group, which is a remarkable property of the coherent state. As a consequence, the resultant effect of successively applying two-mode squeezing operators are equivalent to a single squeezing in the two-mode Fock space. Generalization of this property to the 2n-mode case is also discussed.