Photonic Band Structure of Two-dimensional Atomic Lattices

TL;DR

This paper develops a systematic method to analyze the collective optical properties of two-dimensional atomic lattices, including long-range interactions, and explores their topological features in different environments.

Contribution

It introduces a comprehensive approach for calculating energy shifts and decay rates in 2D atomic arrays with long-range interactions, advancing understanding of their quantum optical phenomena.

Findings

Atomic lattices exhibit topological edge states.

Method enables analysis of radiation patterns in complex lattices.

Lattices show unique optical behaviors near plasmonic surfaces.

Abstract

Two-dimensional atomic arrays exhibit a number of intriguing quantum optical phenomena, including subradiance, nearly perfect reflection of radiation and long-lived topological edge states. Studies of emission and scattering of photons in such lattices require complete treatment of the radiation pattern from individual atoms, including long-range interactions. We describe a systematic approach to perform the calculations of collective energy shifts and decay rates in the presence of such long-range interactions for arbitrary two-dimensional atomic lattices. As applications of our method, we investigate the topological properties of atomic lattices both in free-space and near plasmonic surfaces.