Analysis of Photon Statistics and Quadrature Variances in a Three-level Cascade Configuration With Squeezed Vacuum Radiation in Bad Cavity

This study investigates a three-level laser system featuring a cascade-configured atom interacting with squeezed vacuum radiation within a lossy cavity, where the cavity modes are linked to a vacuum reservoir. By employing steady-state solutions derived from the expectation values of atomic operators and quantum Langevin equations for the cavity mode operators, we have calculated key quantum optical properties, including the mean photon number, normalized second-order correlation functions, and quadrature variances for cavity modes a 1 , a 2 , and their combined two-mode light. The findings reveal that the mean photon number of the two-mode light equals the sum of the individual mode photon numbers. Additionally, the influence of spontaneous and stimulated emissions, along with the squeeze parameter, is shown to enhance the mean photon numbers of the cavity modes. The results further suggest that the cavity modes exhibit thermal light characteristics, with the mean photon number of mode a 1 exceeding that of mode a 2 , as depicted in the analyzed graphs and equations.