The Nondegenerate Parametric Oscillator Coupled to Squeezed vacuum reservoirs
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Date
1998-05
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Addis Ababa University
Abstract
Employing 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 modes
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Keywords
Squeezed Vacuum Reservoirs