We consider the quantum electrodynamics of a binary array of chiral waveguides, each containing many atoms. We show that the one-photon amplitude of a single-excitation state obeys a two-dimensional Dirac equation. Using this result, we develop the scattering theory for the Dirac equation in this setting and illustrate our results with numerical simulations.
@article{arxiv.2210.04082,
title = {Quantum electrodynamics of chiral waveguide arrays},
author = {Jeremy Hoskins and Manas Rachh and John C Schotland},
journal= {arXiv preprint arXiv:2210.04082},
year = {2023}
}