Radiation Eigenmodes of Dicke Superradiance

TL;DR

This paper analyzes the eigenmodes of superradiant emission from many two-level atoms, revealing that most photons are emitted in a single dominant mode, with both numerical and analytical methods used.

Contribution

It introduces an analytical approach to approximate superradiant modes in large atomic ensembles, complementing numerical techniques.

Findings

Over 90% of photons emitted in a single mode

Superradiance is restricted to a small number of modes

Develops an analytical approximation method

Abstract

We calculate the field eigenmodes of the superradiant emission from an ensemble of $N$ two-level atoms. While numerical techniques are effective due to the symmetry of the problem, we develop also an analytical method to approximates the modes in the limit of a large number of emitters. We find that Dicke superradiant emission is restricted to a small number of modes, with a little over 90\% of the photons emitted in a single dominant mode.