Probing strongly correlated many-body systems with quantum simulation

We propose new schemes to implement and probe strongly interacting phases of matter in and out of equilibrium with quantum simulation experiments. We probe the Fermi-Hubbard model by studying higher-order correlations and the spectral function, and by applying pattern analysis and machine learning techniques. In the Bose-Hubbard model we study scrambling of information as well as thermalization and the absence thereof. We investigate the latter case in a quantum gas microscope and through interferometric probes accessible to superconducting qubits.