Strongly interacting fluids in a Bose-Hubbard circuit: Adiabatic preparation

​​In recent years, circuit QED has proven to be a rich testbed for studying quantum many-body phenomena in synthetic photonic materials. We assemble a 1D Bose Hubbard lattice for microwave photons using a chain of capacitively coupled transmon qubits, with strong photon interactions mediated by the transmon anharmonicity. In this part of the talk we manipulate the on-site energy to explore themes of adiabatic state preparation: melting localized single particles in disordered lattices to quasi-momentum states in ordered lattices, preparing a strongly interacting superfluid state, studying the transition between diabatic and adiabatic regime, and quantifying the reversibility of the state preparation as a measure of adiabaticity.