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Topological Quantum Optics in Two-dimensional Photonic Crystals

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(2018)cite arxiv:1810.12299Comment: 5 pages, 5 figures + 8 pages, 6 figures SM; see also companion paper arXiv:1810.12815.

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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