Dynamics of non-degenerate three level laser in a closed cavity and coupled with two-mode vacuum reservoir

Abstract

In this research, we have studied the squeezing and statistical properties of the cavity light beams produced by a dynamics of non-degenerate three-level laser in a closed cavity and coupled with a two-mode vacuum reservoir for single atom via a singleport 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 Langevin equations for the cavity mode operators, we have calculated the global and local mean and variance of the photon number as well as the quadrature squeezing of the cavity light single-mode and two-modes.Furthermore we determined the photon entanglement as well as the atom-cavity entanglement. It is found to be the maximum quadrature squeezing for the values of stimulated emission decay constant(i.e γc = 0.4 and 0.2 ). The maximum quadrature squeezing is found to be 43.43% below the vacuum-state level. Moreover we have found that both the mean photon number for a two-mode laser light beam is the sum of the mean photon numbers and the single-mode light beams. On the other hand, the quadrature squeezing is due to the correlation of the two light beams. In view of this correlations the two mode cavity light is entangled. The degree of entanglement increases with the increase in stimulated emission decay constant.