Interference-Protected Subradiance and Bound States in Nested Atomic Arrays

TL;DR

This paper introduces a deterministic method to engineer atomic arrays with built-in correlations, enhancing the robustness of subradiant states against disorder in waveguide QED systems.

Contribution

It presents a Minkowski sum construction for atom arrays that creates quasi-disordered structures with mode-selective radiative coupling, improving subradiance stability.

Findings

Dark mode interactions are suppressed, bright modes can hybridize.

Subradiant and bound-state-like modes remain stable under moderate disorder.

The approach is relevant for atom-waveguide and circuit QED experiments.

Abstract

Collective subradiant states in waveguide QED are highly sensitive to disorder, limiting their scalability and robustness. We propose a deterministic approach to engineering atom arrays based on a Minkowski sum construction, generating quasi-disordered structures with built-in correlations. This leads to mode-selective radiative coupling: interactions between dark modes are parametrically suppressed, while bright modes can hybridize. We study the stability of these subradiant and bound-state-like modes against moderate positional disorder. Our work provides a route to robust, analytically controllable subradiance through engineered quasi-disorder, with direct relevance to atom-waveguide and circuit QED experiments.