Topological Quantum Optics Using Atomlike Emitter Arrays Coupled to Photonic Crystals
J. Perczel, Johannes Borregaard, Darrick E. Chang, Susanne F. Yelin, Mikhail D. Lukin
Abstract
We propose an experimentally feasible nanophotonic platform for exploring many-body physics in topological quantum optics. Our system is composed of a two-dimensional lattice of nonlinear quantum emitters with optical transitions embedded in a photonic crystal slab. The emitters interact through the guided modes of the photonic crystal, and a uniform magnetic field gives rise to large topological band gaps, robust edge states, and a nearly flat band with a nonzero Chern number. The presence of a topologically nontrivial nearly flat band paves the way for the realization of fractional quantum Hall states and fractional topological insulators in a topological quantum optical setting.