Quantum Simulation of Driven-dissipative Dynamics in Superconducting Circuits

Superconducting circuits have emerged as a leading platform for quantum simulation because of the high coherence and excellent controllability. Beyond the unitary evolution of quantum systems, quantum reservoir engineering opens a new window for exploring novel quantum phenomena in open systems, such as quantum thermodynamics and non-Hermitian physics. Here, we experimentally engineer tunable quantum reservoirs on the superconducting circuits platform with parametric couplings. In a 1D Bose-Hubbard lattice, we study the driven-dissipative dynamics and correlations inside the lattice when coupled to local gain and loss. We will also discuss experiments for creating and stabilizing long-range entanglement using non-local baths. Moreover, a scalable numerical simulation method we develop for these types of driven-dissipative dynamics based on quantum trajectory theory will also be discussed, which can also be useful for more topics in open quantum systems. To demonstrate its potential value, we will show how to apply this method to the optimization of dispersive readout.