Subradiant edge states in an atom chain with waveguide-mediated hopping

TL;DR

This paper investigates topological edge states in a waveguide-coupled atom chain, revealing robust, subradiant states with potential for realizing symmetry-protected topological phases despite long-range interactions.

Contribution

It demonstrates the existence of fully localized, robust edge states in a waveguide-mediated atom chain, extending topological concepts to long-range interacting quantum systems.

Findings

Edge states are fully localized and robust against disorder.

Edge states are subradiant and dynamically stable.

Bulk-boundary correspondence is weakened due to long-range interactions.

Abstract

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger (SSH) model. However, due to the long-range character of the exchange interactions, we find weakening of the bulk-boundary correspondence. This is illustrated by the variation of the localization length and mass gap of the edge states encountered as we vary the lattice constant and offset between the chains. Most interestingly, we analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size. These edge states are shown to be not only robust against positional disorder of the atoms in the chain, but also subradiant, i.e., dynamically stable even in the presence of inevitable dissipation processes, establishing the capacity of waveguide QED systems for the realization of symmetry protected topological phases.