The Quantum Analysis of the Light Produced by Coherently Driven Degenerate Three-Level Atom in a Cavity Containing Parametric Amplifier and Coupled to a Vacuum Reservoir
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Date
2022-04-18
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Addis Ababa University
Abstract
In this thesis, we analyze the statistical and squeezing properties of the light produced by
a degenerate three-level atom, whose top and bottom levels are coupled by coherent light,
and available in a cavity containing degenerate parametric amplifier and coupled to a vacuum
reservoir via a port-mirror. Employing the master equation for the system under consideration,
we obtain the equations of evolution for the expectation value of atomic operators
and the quantum Langevin equation for the cavity mode operator. Using the steady-state
solutions of these equations and the large time approximation, we have determined the mean
and variance of photon number, the power spectrum of cavity mode, quadrature variance and
quadrature squeezing. We observe that the increase of the amplitude of the driving coherent
light and the presence of the parametric amplifier enhance the mean and variance of the
photon number. We have also established that the maximum quadrature squeezing is 61%
for _ = 0.03 and 70% for _ = 0.06 below the vacuum-state level. Thus, we note that the
presence of parametric amplifier has positive impact on the quadrature squeezing.
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Keywords
Quantum Analysis, Light Produced, Coherently Driven, Degenerate three-Level Atom, Cavity Containing Parametric, Amplifier and Coupled, Vacuum Reservoir