Cooperative Decay of N Atoms in a Ring Configuration

TL;DR

This paper derives an analytical expression for the cooperative decay spectrum of N atoms arranged in a ring, considering both scalar and vectorial light models, enhancing understanding of collective atomic decay phenomena.

Contribution

It introduces an analytic formula for the cooperative decay spectrum of atoms in a ring, extending from scalar to vectorial light models with aligned dipoles.

Findings

Analytic expression for decay spectrum in scalar model

Extension to vectorial light model with aligned dipoles

Enhanced understanding of collective atomic decay

Abstract

We provide an analytic expression of the spectrum of the cooperative decay rate of N two-level atoms regularly distributed on a ring in the single-excitation configuration. The results are obtained first for the scalar model and then extended to the vectorial light model, assuming all the dipoles are aligned.