# Two-Mode Subharmonic Generating System With Coherent and Thermal Light

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## Date

2018-07-03

## Authors

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## Publisher

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.

## Description

## Keywords

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