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

Superconducting circuits have emerged as one of the most powerful platforms for quantum computing and simulation. The long coherence, strong interactions, and high tunability e.g. of the coupling to engineered baths, make circuits an ideal platform for exploring novel quantum many-body states. Recently, a dissipatively stabilized Mott insulator in superconducting circuits was realized [1] 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, and perform quantum transport measurements across the lattice. We will discuss results from numerical simulations and our experimental progress.

[1] Ma, Ruichao, Brendan Saxberg, Clai Owens, Nelson Leung, Yao Lu, Jonathan Simon, and David I. Schuster. "A dissipatively stabilized Mott insulator of photons." Nature 566, no. 7742 (2019): 51-57.