In recent years, superconducting circuits have made tremendous advances in implementing engineered quantum dynamics, ranging from cavity quantum electrodynamics, to quantum information processing and quantum simulation. Their quantum behaviour originates from Josephson junctions that are integrated in the circuit and typically built as Superconducting Quantum Interference Devices (SQUIDs) that can be tuned and driven via magnetic fluxes. Currently superconducting circuits are assembled in ever larger connected networks and have thus reached a threshold in their development that opens intriguing perspectives for exploring quantum many-body phenomena. Such quantum simulations can be im- plemented digitally, by realising the targeted evolution as a Trotter sequence of elementary interaction steps, or in an analogue manner, by directly generating the target Hamiltonian in a suitable parameter regime.
We develop approaches to quantum simulators with superconducting circuits. Our aim here is not only to emulate quantum phenomena that are more difficult to observe on other platforms but to develop devices and artificial quantum matter with novel functionalities.