Entanglement Amplification of Nondegenerate Three-Level Laser with Cavity Modes driven by Coherent Light and coupled to a Vacuum Reservoir

Abstract

In this thesis we study the squeezing entanglement 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 vacuum reservoir via a single-port mirror. We have carried out our analysis by putting the noise operators associated with the vacuum reservoir in normal order. 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 , variance ,correlation and entanglement of the photon number as well as the quadrature squeezing of the cavity light. We also obtain the anti-normally ordered characteristic function defined in the Heisenberg picture. With the aid of the resulting characteristic function, we determine the Q function which is then used to calculate the photon number variance of twomode. The maximum quadrature squeezing is the same for different values of spontaneous emission decay constant and occurs at different values of the amplitude of the driving coherent light. We have also noticed that the maximum quadrature squeezing is 43.42% below the vacuum state-level.