Strong Coupling to Two-Dimensional Anderson Localized Modes
Alexandre Caz\'e, Romain Pierrat, R\'emi Carminati

TL;DR
This paper derives a theoretical condition for achieving strong coupling between a resonant scatterer and 2D Anderson localized modes, validated by numerical simulations, linking transport theory and cavity QED concepts.
Contribution
It introduces a formalism to determine strong coupling conditions in 2D Anderson localized modes, connecting transport and quantum electrodynamics theories.
Findings
Strong coupling condition derived and validated
Threshold expressed via Thouless conductance and Purcell factor
Numerical simulations confirm theoretical predictions
Abstract
We use a scattering formalism to derive a condition of strong coupling between a resonant scatterer and an Anderson localized mode for electromagnetic waves in two dimensions. The strong coupling regime is demonstrated based on exact numerical simulations, in perfect agreement with theory. The strong coupling threshold can be expressed in terms of the Thouless conductance and the Purcell factor, thus connecting key concepts in transport theory and cavity quantum electrodynamics.
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