Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers

TL;DR

This paper uses Random Matrix Theory to analyze coherent perfect absorption in chaotic systems, linking loss and energy conditions to the eigenmodes of the cavity, and validates findings with numerical simulations.

Contribution

It introduces a novel theoretical framework connecting chaotic cavity eigenmodes to CPA conditions using Random Matrix Theory, supported by numerical validation.

Findings

Derived expressions for CPA loss strength and energy in terms of eigenmodes.

Validated theoretical predictions with numerical simulations of chaotic networks.

Established a link between chaos and CPA phenomena.

Abstract

We employ Random Matrix Theory in order to investigate coherent perfect absorption (CPA) in lossy systems with complex internal dynamics. The loss strength $\gamma_{\rm CPA}$ and energy $E_{\rm CPA}$, for which a CPA occurs are expressed in terms of the eigenmodes of the isolated cavity -- thus carrying over the information about the chaotic nature of the target -- and their coupling to a finite number of scattering channels. Our results are tested against numerical calculations using complex networks of resonators and chaotic graphs as CPA cavities.