Dynamical evolution of an inverted spin ensemble in a cavity: Inhomogeneous broadening as a stabilizing mechanism

TL;DR

This paper investigates how inhomogeneous broadening stabilizes an inverted spin ensemble coupled to a cavity, providing a stability criterion and analyzing the system's dynamics under various conditions.

Contribution

It introduces a stability criterion showing inhomogeneous broadening as a stabilizing factor for inverted spin ensembles in cavity systems.

Findings

Inhomogeneous broadening stabilizes the inverted spin ensemble.

Derived a stability criterion for the system.

Analyzed mean values and variances under different conditions.

Abstract

We study the evolution of an inverted spin ensemble coupled to a cavity. The inversion itself presents an inherent instability of the system; however, the inhomogeneous broadening of spin-resonance frequencies presents a stabilizing mechanism, and a stability criterion is derived. The detailed behavior of mean values and variances of the spin components and of the cavity field is accounted for under both stable and unstable conditions.