Regime of small number of photons in the cavity for a single-emitter laser

TL;DR

This paper presents a theoretical analysis of a single-emitter laser operating with few photons in the cavity, deriving analytical expressions for photon statistics and solving related equations exactly in certain limits.

Contribution

It introduces a theoretical model for a single-emitter laser in the small photon number regime, providing analytical solutions for photon number and phase distribution.

Findings

Analytical expressions for mean photon number and dispersion.

Exact solutions for phase-averaged quasi-probability Q in certain limits.

Theoretical insights into photon statistics in single-emitter lasers.

Abstract

The simplest model of a single-emitter laser generating in the regime of small number of photons in the cavity is theoretically investigated. Based on a system of equations for different moments of the field operators the analytical expressions for mean number of photons and its dispersion 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.