Squeeze operator and the single-complex-variable representation in two-mode fock space

Jing Si, Fan Hong

Fan Hong-Yi, Junhua Chen

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.

Reinhard Honegger, Alfred Rieckers

FANHong-Yi, Hong-Yi, Chen +1 more

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.

Hong-Yi Fan

We construct q -deformed displaced number state, q -deformed two-mode squeezed state and q -deformed two-mode single-complex-variable state by making use of the q -deformed inverse field operators. Their completeness relations are investigated by virtue of the technique of integration within an ordered product of operators. Some new operator identities in q -deformed Fock space are also derived.

Alberto Chamorro