Abstract

We consider the quantum electrodynamics of single photons in arrays of one-way waveguides, each containing many atoms. We investigate both chiral and antichiral arrays, in which the group velocities of the waveguides are the same or alternate in sign, respectively. We find that in the continuum limit, the one-photon amplitude obeys a Dirac equation. In the chiral case, the Dirac equation is hyperbolic, while in the antichiral case it is elliptic. This distinction has implications for the nature of photon transport in waveguide arrays. Our results are illustrated by numerical simulations.

© 2023 Optica Publishing Group

Biphoton routing in few-emitter chiral waveguide quantum electrodynamics ladders

Tiberius Berndsen and Imran M. Mirza
Opt. Express 31(25) 42478-42494 (2023)

All-optical control of thermal conduction in waveguide quantum electrodynamics

Wei-Bin Yan, Zhong-Xiao Man, Ying-Jie Zhang, Heng Fan, and Yun-Jie Xia
Opt. Lett. 48(3) 823-826 (2023)

Controlling photons by phonons via giant atom in a waveguide QED setup

Xinyu Li, Wei Zhao, and Zhihai Wang
Opt. Lett. 48(13) 3595-3598 (2023)

Photon antibunching and bunching in a ring-resonator waveguide quantum electrodynamics system

Zihao Chen, Yao Zhou, and Jung-Tsung Shen
Opt. Lett. 41(14) 3313-3316 (2016)

Influence of disorder on electromagnetically induced transparency in chiral waveguide quantum electrodynamics

Imran M. Mirza and John C. Schotland
J. Opt. Soc. Am. B 35(5) 1149-1158 (2018)