The Nondegenerate Parametric Oscillator Coupled To Squeezed Vacuum Reservoirs

Employing the pertinent quantum Hamiltonian describing the interaction of a tw;modernlight with two uncorrelated squeezed vacuum reservoirs, we derive the equation governingrnthe time evolution of the reduced density operator. With the help of the resultingrnequation, we obtain the master equation for the signal-idler modes produced by a nondegeneraternparametric oscillator coupled to two uncorrelated squeezed vacuum reservoirs.rnThe corresponding Fokker-Planck equation for the Q-function' is then solved employingrnthe method of evaluating the propagator developed by Fesseha [1}. Finally, applying thisrnQ-function, we calculate the quadrature fluctuations and the photon number distributionsrnfor the signal mode as well as the signal-idler modes

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