Susceptibility of a two-level atom near an isotropic photonic band edge: transparency and band edge profile reconstruction

TL;DR

This paper explores how a two-level atom's transparency near an isotropic photonic band edge depends on reservoir coupling and proposes a method to reconstruct the band edge profile from susceptibility measurements.

Contribution

It introduces conditions for atomic transparency near a band edge and presents a novel method for reconstructing the band edge profile from experimental susceptibility data.

Findings

Transparency occurs when the atom couples to a reservoir with flat and non-flat mode densities.

A method for reconstructing the band edge profile from susceptibility measurements is proposed.

Theoretical conditions for transparency near the band edge are established.

Abstract

We discuss the necessary conditions for a two-level system in the presence of an isotropic band edge to be transparent to a probe laser field. The two-level atom is transparent whenever it is coupled to a reservoir constituted of two parts - a flat and a non-flat density of modes representing a PBG structure. A proposal on the reconstruction of the band edge profile from the experimentally measured susceptibility is also presented.