Kassahun, Fesseha (PhD)Mebrahtu, Alem2018-06-142023-11-092018-06-142023-11-091998-05http://10.90.10.223:4000/handle/123456789/949Employing the pertinent quantum Hamiltonian describing the interaction of a tw;mode light with two uncorrelated squeezed vacuum reservoirs, we derive the equation governing the time evolution of the reduced density operator. With the help of the resulting equation, we obtain the master equation for the signal-idler modes produced by a nondegenerate parametric oscillator coupled to two uncorrelated squeezed vacuum reservoirs. The corresponding Fokker-Planck equation for the Q-function' is then solved employing the method of evaluating the propagator developed by Fesseha [1}. Finally, applying this Q-function, we calculate the quadrature fluctuations and the photon number distributions for the signal mode as well as the signal-idler modesenSqueezed Vacuum ReservoirsThesis