Degenerate Squeezed Three Level Laser and Sub-harmonic Light Coupled to Vacuum Reservoir

Abstract

In this thesis, we study the squeezing and statistical properties of light produced by degenerate squeezed three level laser and one mode subharmonic generator. We first obtain, the master equation, with the aid of the master equation, we determine c-number Langevin equations for a degenerate squeezed three level laser and one-mode subharmonic generator. With the help of solutions of c-number Langevin equations, we also obtain the antinormally ordered characteristic function defined in the Heisenberg picture. The resulting characteristic function is used to determine the Q-function of the light beams produced by degenerate squeezed three level laser and a one-mode sub-harmonic generator. Finally we superposed the two Q functions. Employing the resulting Q-function, we calculated the photon statistis and quadrature fluctuation.And we have seen that squeezing is enhanced for the superposed light beams.