High-order topological quantum optics in ultracold atomic metasurfaces

TL;DR

This paper explores high-order topological quantum optics in ultracold atom metasurfaces, revealing long-range interactions, corner states, and their potential for robust quantum entanglement without extra photonic structures.

Contribution

It demonstrates the existence of long-range interactions leading to corner states in ultracold atom metasurfaces modeled after the 2D Su-Schrieffer-Heeger system, and their application in quantum entanglement.

Findings

Long-range interactions create isolated corner states.

Corner atoms can be addressed remotely via nontrivial states.

Topological edge states enable robust quantum entanglement.

Abstract

Ultracold atom arrays in optical lattices emerge as an excellent playground for the integration of topological photonics and quantum optics. Here, we study high-order topological quantum optics in an ultracold atom metasurface intended to mimic the two-dimensional Su-Schrieffer-Heeger model. We find the existence of long-range interactions beyond nearest-neighbor ones leads to isolated corner states in the band gap, and show a corner atom can be addressed by a laser drive far away from it via these nontrivial states. We demonstrate the Purcell factor can be used as a powerful tool to examine the existence of topological edge and corner states. We predict topological edge states can mediate strong coherent interactions between two remote impurity quantum emitters while suppressing dissipative losses thanks to the higher-order topology, generating robust and long-lived quantum entanglement, without the need for additional photonic structures.