The Propagator Formulation of Parametric Oscillation

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Date

1997-06

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Addis Ababa University

Abstract

Employing the Q-function formalism, we analyze the squeezing spectrum and the photon number distribution for the signal mode as weU as the quadrature fluctuations, the photon number distribution and the spectrum of the intensity-difference fluctuations for the signal-idler modes generated in parametric oscillators operating below threshold. The Q-function is obtained by solving the pertinent Fokker-Planck equation applying the method of evaluating the propagator developed by Fesseha [1 J. The task of evaluating the propagator by means of this method essentially reduces to the problem of solving the pertinent Euler-Lagrange equations

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The Propagator Formulation

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