Entanglement and Squeezing Properties of Two-Mode Cavity Light from Three-Level Atom and Subharmonic Generating System
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Date
2020-08-31
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Addis Ababa University
Abstract
The aim of this thesis is to study the quantum properties of light produced by a
non-degenerate three-level atom driven by strong coherent light in a cavity con-
taining a parametric ampli er and coupled to a two-mode vacuum reservoir. By
using the master equation of the system, the stochastic di erential equations of
the expectation value of the operators are obtained. Further manipulating of the
quantum Langevin equations, the decoupled stochastic di erential equations be-
tween cavity mode and atomic operators are established. On the other hand the
correlation properties of the noise operators are obtained by using the quantum
Langevin equations. For cavity mode operators, the steady state solutions of the
decoupled di erential equations are used to calculate the photon statistics of sin-
gle mode as well as the two mode cavity light beams. The quadrature variances
of the single modes as well as the two-mode are also obtained from the steady
state solutions of the operators. The single modes are in chaotic state, where as
the two-mode can be in squeezed state for some combinations of the considered
parameters. The quadrature squeezing occurs in both minus quadrature and plus
quadrature for di erent values of
, and . The maximum squeezing occurs in the
plus quadrature with a quadrature squeezing of 60%. Moreover, the entanglement
of the cavity radiation is analyzed using di erent criteria. It is found that the
presence of parametric ampli er and coherent light enhance entanglement of the
cavity light. The Duan et. al. and logarthmic negativity entanglement criteria
indicate that the quantum optical system generates entangled photons.
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Keywords
Entanglement, Squeezing Properties, Two-Mode Cavity Light, Three-Level Atom, Subharmonic Generating System