Photon statistics of three-level atom microlaser

The single atom laser (Microlaser) is an important tool used to study Cavity Quantum Electrodynamics (Cavity QED) and explore the fundamental interaction between a few number of atoms and photons. It consists mainly of a high quality optical cavity through which a beam of excited atoms passes and interacts with the cavity field. In the last ten years, the Microlaser has been utilized to generate new states of light, confirm the quantum nature of light and the predictions of Quantum Electrodynamics, and introduce, new, techniques in quantum information.;In this research, we use the Quantum Trajectory Method, a Monte Carlo Simulation applied to quantum systems, to study a new class of Microlaser where three-level atoms interact with a two-mode cavity. We are interested in the current work in the quantum statistical properties of the cavity field at steady state. The main parameter used to describe the photon statistics at steady state is the second order correlation function g(2) (tau). We used the Quantum Trajectory Method to analyze the behavior of the correlation function and included the effect of the velocity spread of the atoms used to pump the Microlaser cavity in our simulation. Throughout the text, we comment on some interesting aspects of the single mode and two-mode Microlaser.