Two-Mode Subharmonic Generating System With Coherent and Thermal Light

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Date

2018-07-03

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Addis Ababa University

Abstract

In this thesis, we have investigated the statistical and squeezing properties of the light produced by a two-mode subharmonic generating system in a cavity driven by two-mode coherent light and coupled to two-mode thermal reservoir via a singleport mirror. Employing the master equation for the system under consideration, we obtain c-number Langevin equations associated with the normal ordering and determined correlation properties of the noise forces. The solutions of the resulting differential equations are then used to calculate the mean and variance of the photon number of the cavity light. We have found that the variance of the photon number is gerater than the mean of the photon number and hence the photon statistics of the cavity light mode is super-Poissonian. Moreover, applying the same solutions, we also obtained the antinormally-ordered characteristic function with the aid of which the Q function is determined. In addition, the Q function is used to calculate the photon number distribution for the cavity mode. Furthermore, we obtain the variance of the plus and minus quadrature of the two-mode cavity light produced by the two-mode subharmonic generating system. It is found that the two-mode driving coherent light has no effect on the squeezing properties of the cavity mode and the squeezing occurs in the plus quadrature. Finally, we have found that at steady state and at thershold, there is a 50% maximum squeezing of the two-mode cavity light when the cavity is coupled to vacuum reservoir.

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Keywords

C-number Langevin Equations, Photon Statistics, The Q Function

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