Probing correlated phase of quantum matter in driven-dissipative superconducting circuit lattice

Superconducting (SC) circuits have recently emerged as one of the leading platforms for quantum computation and simulation. Utilizing the high flexibility of the circuit QED toolbox, engineered baths offer a new powerful tool for the driven-dissipative control of quantum states and quantum processes. In this work, we create bath-coupled SC circuit analog quantum simulators to explore many-body physics in open quantum systems. We implement a hardware-efficient way to engineer dynamically tunable local particle baths by controlling the sideband coupling between the SC lattice and readout resonators, and apply them to prepare many-body states in a circuit Bose-Hubbard lattice. We present a new method for measuring current and current statistics in a strongly interacting lattice to characterize correlated lattice phases in open quantum systems. We will also discuss future plans for creating non-local correlated baths and their applications.