Coherently Driven Three-level Laser With Parametric Amplifier

The squeezing and statistical properties of the light produced by a coherently driven degeneraternas well as nondegenerate three-level laser with a parametric amplifier is studied applyingrnc-number Langevin equations. Employing the solutions of these equations, we have determinedrnthe quadrature variance for the cavity and output modes, the squeezing spectrum forrnthe output mode(s), the photon statistics of the cavity mode(s), and the photon number andrncount statistics of the output mode(s). It so turns out that the parametric amplifier increasesrnthe squeezing and the mean photon number significantly. Furthermore, it so happens thatrnthe coupling of the top and bottom levels enhances the degree of squeezing particularly whenrnthere are nearly equal number of atoms initially in the top and bottom levels. It is also foundrnthat one effect of the coupling of the top and bottom levels is to decrease the mean and thernnormally-ordered variance of the photon number. In addition, our calculation shows that thernmean photon number of mode a is greater than that of mode b

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