Quasi-probability Q for a single-atom laser generating in the 'semi-classical' regime

TL;DR

This paper models a single-atom laser with incoherent pumping, deriving a differential equation for its phase-averaged Q-function, and finds an asymptotic solution that describes its statistical photon properties in a strong coupling regime.

Contribution

It introduces a theoretical model for a single-atom laser and derives an asymptotic solution for the Q-function in the semi-classical regime, revealing statistical features.

Findings

Describes weak sub-Poissonian photon statistics

Derives a differential equation for the Q-function

Provides an asymptotic solution in strong coupling regime

Abstract

In the paper a model of a single-atom laser with incoherent pumping is theoretically investigated. In the stationary case, a linear homogeneous differential equation for the phase-averaged Hussimi Q-function is derived from the equation for the density operator of the system. In the regime when the coupling of the field with an atom is many times stronger than the coupling of the field with the reservoir providing its decay, an asymptotic solution of this equation is found. This solution makes it possible to describe some statistical features of a single-atom laser, in particular the weak sub-Poissonian photon statistics.