Statistical theory of a quantum emitter strongly coupled to Anderson-localized modes

TL;DR

This paper develops a statistical framework for understanding how quantum emitters interact with Anderson-localized modes, showing that strong coupling is achievable in disordered photonic systems, opening new avenues for quantum electrodynamics experiments.

Contribution

It introduces a dyadic Green's function-based statistical theory for quantum emitter coupling in disordered systems, highlighting the feasibility of strong coupling in realistic experimental setups.

Findings

Strong coupling probability depends on localization and loss lengths.

Disorder-induced confinement enables quantum electrodynamics experiments.

Strong coupling achievable with current photonic crystal designs.

Abstract

A statistical theory of the coupling between a quantum emitter and Anderson-localized cavity modes is presented based on a dyadic Green's function formalism. The probability of achieving the strong light-matter coupling regime is extracted for an experimentally realistic system composed of InAs quantum dots embedded in a disordered photonic crystal waveguide. We demonstrate that by engineering the relevant parameters that define the quality of light confinement, i.e. the light localization length and the loss length, strong coupling between a single quantum dot and an Anderson-localized cavity is within experimental reach. As a consequence of disorder-induced light confinement provides a novel platform for quantum electrodynamics experiments.