Long-range interactions of quantum emitters coupled through structured baths

Lewis Ruks, Thomas Busch

Published 2021-05-29Version 1

Quantum emitters coupled to structured baths are the ideal testbed for investigating atypical transport stemming from exotic wave propagation dynamics. In this work, we characterize wave propagation in generic Hermitian local periodic baths in $d$ dimensions, and investigate the combined effects of anisotropy and quasi-breaking of periodicity. We derive an asymptotic decomposition of the Green's function into resonant travelling waves obeying power-law decay, and rapidly decaying evanescent waves. The far-field transport is characterized in terms of the transverse effective mass tensor, and beyond caustics a universal scaling for the exponential decay length of ghost waves is obtained. Finally applying an artificial gauge field on the lattice, we find emission resonant with the corresponding open orbits is robustly quasi-one dimensional with topological protection. Our results shed fresh light on wave propagation in discrete structured media.