Dynamics of two forced quantum oscillators with parametric down-conversion interaction solved by virtue of the entangled state representation
Hong-Yi Fan, Zhonghua Jiang · Journal of Physics A Mathematical and General · 2004
By virtue of the entangled state representation |ξ, we solve the dynamics of a generalized parametric amplifier whose Hamiltonian is composed of two forced quantum oscillators plus a parametric down-conversion interaction in the resonant case. The solutions and state vectors of the Schrodinger equation are derived, of which the simplest solution is a squeezed coherent state. The method of characteristics is employed.