Driven-dissipative dynamics in superconducting circuit lattices coupled to quantum baths

Understanding the influence of noise and environment on quantum systems is of fundamental importance for applications in quantum information sciences. Engineered environment/baths can be used as a resource for controlling and manipulating entanglement, and has attracted much attention. Recently a dissipatively stabilized Mott insulator in superconducting circuits was realized by coupling a narrowband incoherent bath with a Bose-Hubbard lattice. Here, we propose experiments to explore the dynamics of quantum correlations in strongly correlated lattices in the presence of broadband baths. We discuss schemes for realizing the dynamically tunable baths. By creating two baths to serve as source and drain we can implement an effective chemical potential for photons to prepare driven-dissipative many-body states. The baths also enable energy selective transport measurements across the lattices, providing insights into the quantum thermodynamics of interacting channels. We will discuss results from numerical simulations and our experimental progress.