Driven-dissipative dynamics in superconducting circuit lattice coupled to tunable baths

Quantum reservoir engineering plays a key role in understanding the influence of the environment on quantum systems. In recent years, engineered reservoirs have emerged as a powerful tool for controlling quantum systems for application in entanglement generation, autonomous quantum error correction, etc. One experimental platform to explore these ideas is superconducting circuits where high coherence, strongly interacting qubit arrays are combined with well-controlled driving and dissipation. Here, we developed a hardware-efficient approach to engineer tunable local baths, using parametrically-enabled coupling between qubits and their readout resonators which serve as reservoirs. We explore the driven dissipative dynamics in a 1D Bose-Hubbard lattice coupled to local gain/loss with tunable spectrum and strength. This architecture enabled us to study correlation across the lattice and measure transport property when baths are coupled to different locations of the lattice. Our future plan for long-range entanglement generation using non-local baths and many-body state stabilization with broadband baths will also be discussed.