Analysis of photon Entanglement of Non degenerate Three-Level Laser coupled with thermal Reservoir

Abstract

In this thesis, we have studied the squeezing and statistical properties of the cavity light beams produced by a coherently driven non degenerate three-level laser with an open cavity and coupled to a two-mode thermal reservoir via a single-port mirror. Applying the solutions of the equations of evolution for the expectation values of the atomic operators and the quantum Langavin equations for the cavity mode operators, we have calculated the mean and variance of the photon number as well as the quadrature squeezing of the cavity light. We find the maximum quadrature squeezing to be the same in the presence as well as in the absence of spontaneous emission. The quadrature squeezing when γ = 0 is greater than when γ = 0.2 in the interval 0 < Ω < 0.4545 and the quadrature squeezing when γ = 0 is less than when γ = 0.2 for Ω > 0.4545 . And the quadrature squeezing when γ = 0 is greater than when γ = 0.1 in the interval 0 < Ω < 0.4242 and the maximum quadrature squeezing when γ = 0 is less than when γ = 0.1 for Ω > 0.4242. Moreover, the plots in the same figure show that the quadrature squeezing when γ = 0.1 is greater than when γ = 0.2 in the interval 0 < Ω < 0.5253 and the quadrature squeezing when γ = 0.1 is less than when γ = 0.2 for Ω > 0.5253. Furthermore, from the same plots the maximum squeezing is found to be 58.08% for γ = 0.2 (dashed curve), for γ = 0.1 (dotted curve), and for γ = 0 (solid curve) below the thermal-state level.