Abstract
We propose a nanophotonic quantum optical platform that gives rise to
two-dimensional topological bands at optical frequencies with large band gaps.
Our system is composed of a two-dimensional lattice of non-linear quantum
emitters 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 a topological band structure with a band that is almost completely flat.
Topological edge states arise on the boundaries of the system that are robust
to missing lattice sites and to the inhomogeneous broadening of emitters. These
results pave the way for exploring topological many-body states in quantum
optical systems.
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