Kinetic Inductance Microwave Resonators for Quantum Simulation of Nonequilibrium Bose-Hubbard Models*

The field of circuit-QED (cQED) provides a rich toolbox for doing both quantum computation and quantum simulation with superconducting circuits. Here we will discuss the use of kinetic inductance nonlinearities in microwave resonators as a new tool for quantum and classical-nonlinear simulation of Bose-Hubbard models. We explore the interplay between nonlinearities, dissipation, and disorder in large-scale circuits consisting of cavity arrays or multimode cavities. In contrast to other quantum simulation platforms, the particles in cQED (photons) are inherently dissipative, allowing the study of Bose-Hubbard models from a driven-dissipative and open system context.