Coherently Driven Three-Level Laser with Parametric Amplifier
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Date
2010-04
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Addis Ababa University
Abstract
The squeezing and statistical properties of the light produced by a coherently driven degenerate
as well as nondegenerate three-level laser with a parametric amplifier is studied applying
c-number Langevin equations. Employing the solutions of these equations, we have determined
the quadrature variance for the cavity and output modes, the squeezing spectrum for
the output mode(s), the photon statistics of the cavity mode(s), and the photon number and
count statistics of the output mode(s). It so turns out that the parametric amplifier increases
the squeezing and the mean photon number significantly. Furthermore, it so happens that
the coupling of the top and bottom levels enhances the degree of squeezing particularly when
there are nearly equal number of atoms initially in the top and bottom levels. It is also found
that one effect of the coupling of the top and bottom levels is to decrease the mean and the
normally-ordered variance of the photon number. In addition, our calculation shows that the
mean photon number of mode a is greater than that of mode b
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Keywords
Parametric Amplifier