Quantum electrodynamics of chiral waveguide arrays
Jeremy Hoskins, Manas Rachh, John C Schotland
TL;DR
This paper models the quantum electrodynamics of chiral waveguide arrays, revealing that single-photon states follow a 2D Dirac equation, and develops a scattering theory with numerical validation.
Contribution
It introduces a novel framework linking chiral waveguide quantum electrodynamics to a 2D Dirac equation and develops associated scattering theory.
Findings
Single-photon amplitudes obey a 2D Dirac equation.
Developed a scattering theory for the Dirac equation in this context.
Numerical simulations validate the theoretical predictions.
Abstract
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.
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Taxonomy
TopicsQuantum optics and atomic interactions · Cold Atom Physics and Bose-Einstein Condensates · Quantum Mechanics and Non-Hermitian Physics