Regime of small number of photons in the cavity for a singleemitter laser

N V Larionov

doi:10.1088/1742-6596/2103/1/012158

Abstract

The model of a single-emitter laser generating in the regime of small number of photons in the cavity mode is theoretically investigated. Based on a system of equations for different moments of the field operators the analytical expressions for mean photon number and photon number variance are obtained. Using the master equation approach the differential equation for the phase-averaged quasi-probability Q is derived. For some limiting cases the exact solutions of this equation are found.

Highlights

Nowadays, there are many experimental and theoretical studies aimed at creating specific quantum states of both atomic and field systems [1,2,3]
One of the fundamental models of quantum optics is the model of a single-emitter laser (SEL): a two-level atom with incoherent pumping interacting with a damped single cavity mode
Using the approach based on an infinite system of equations for different moments of the field operators [16,17] the analytical expressions for a mean number of photons and its dispersion are obtained

Summary

Introduction

There are many experimental and theoretical studies aimed at creating specific quantum states of both atomic and field systems [1,2,3]. In [14], for the case of stationary SEL generation, we derived a second-order linear homogeneous differential equation for the P-function averaged over the phase. Using the approach based on an infinite system of equations for different moments of the field operators [16,17] the analytical expressions for a mean number of photons and its dispersion are obtained.

Results

Conclusion