Many-body physics in driven-dissipative superconducting quantum circuits

Superconducting circuits have emerged as a leading platform for quantum computing and simulation. The long coherence, strong interactions, and high controllability make circuits ideal for exploring correlated quantum materials made of microwave photons. The precise control over the coupling to engineered baths enables studies of emergent quantum phases and dynamics in both coherent and driven-dissipative settings. In recent work, we experimentally demonstrated dissipative stabilization of a photonic Mott insulator by coupling a Bose-Hubbard qubit lattice to a narrowband incoherent bath. Here, we propose experiments to create novel entangled many-body states in qubit lattices in the presence of tunable broadband baths. Multiple baths can serve as source and/or sink to implement an effective chemical potential for photons, and also provide a natural way to probe quantum transport across interacting channels. I will discuss our experimental progress and briefly discuss other directions we are pursuing in our new lab at Purdue.