Two-dimensional chiral waveguide quantum electrodynamics: long range qubit correlations and flat-band dark polaritons

TL;DR

This paper explores a 2D extension of waveguide quantum electrodynamics, revealing how chirality and long-range interactions create flat bands and slow, correlated polaritons, advancing understanding of quantum light-matter interactions.

Contribution

It introduces a novel 2D model of chiral waveguide QED demonstrating flat-band polaritons and long-range qubit correlations, extending prior 1D studies.

Findings

Emergence of flat bands in 2D polaritonic spectrum

Presence of slow, strongly correlated light

Long-range photon-mediated qubit interactions

Abstract

We consider a two-dimensional extension of the 1D waveguide quantum electrodynamics and investigate the nature of linear excitations in two-dimensional arrays of qubits coupled to networks of chiral waveguides. We show that the combined effects of chirality and long-range photon mediated qubit-qubit interactions lead to the emergence of the two-dimensional flat bands in the polaritonic spectrum, corresponding to slow strongly correlated light.