Topolux

This project explores the possibilities offered by circuit Quantum Electrodynamics to realize quantum fluids of light. By implementing arrays of coupled non-linear superconducting resonators, we will create artificial lattices for microwave photons in the presence of strong photon-photon interactions. Such circuits will simulate the Bose-Hubbard and the XY models with tunable parameters (hopping, interaction strength, ...) and arbitrary lattice geometries. The novelty of this project is to explore the out of equilibrium properties of these models both experimentally and theoretically. More precisely, we will revisit the physics of the superconducting to insulator transition in Josephson junction chains and the physics of the quantum Hall effect with microwave photons in arrays of cavities implementing an artificial gauge field.