Quantum electrodynamics in a topological metamaterial: Part 1

The rich quantum electrodynamical properties arising from topological photonics open new possibilities for studying novel many-body states and implementing topologically protected quantum information processing protocols. It has been recently suggested that a topological waveguide, which realizes a photonic analog of the Su-Schrieffer-Heeger (SSH) model, can host unconventional quantum optical phenomena [Sci. Adv. 5, eaaw0297 (2019)]. We discuss the implementation of the topological waveguide with superconducting metamaterials. We explore the exotic properties of qubit-photon bound states and topological edge states emergent in this system.