Non-hermitian model for resonant cavities coupled by a chiral mirror

TL;DR

This paper introduces a non-Hermitian PT-symmetric quantum model to describe asymmetric light transmission in coupled resonant cavities mediated by a chiral mirror, capturing observed polarization asymmetries.

Contribution

It presents a novel non-Hermitian PT-symmetric framework for modeling chiral light-matter interactions in coupled cavities, highlighting asymmetric transmission phenomena.

Findings

Asymmetric transmission probability predicted by the model.

Identification of system energies and compatible operators.

Demonstration of polarization-dependent light behavior.

Abstract

Inspired by a recently observed asymmetry in the transmission of circularly polarized light through a metamaterial, we present a non-hermitian PT-symmetric quantum model to describe the interaction of the light fields in two resonant cavities coupled via a 2D-chiral mirror. We compute the time evolution of the light fields in this model, find two sets of operators compatible with the hamiltonian in a delocalized representation, discover the energies of the system and show that the transmission probability predicted by the model is indeed asymmetric.