Abstract

Quantum simulation using ultracold atoms and molecules has opened a new research field to probe quantum matter in- and out-of-equilibrium using novel observational an engineering techniques at the single atom level. In fermionic quantum matter, the systems are now cold enough to enter the pseudogap regime and reveal intriguing higher order quantum correlations in doped Hubbard systems. We also explore a new high-temperature pairing mechanism in mixed two-dimensional systems that dramatically boosts the pairing energy of holes. In quantum dynamics, probing the full counting statistics of charge transfer allows to explore quantum transport in fundamentally new ways. We test this for the cases of integrable and chaotic quantum dynamics, where for the latter case local subsystems eventually approach a thermal equilibrium state. Large subsystems, however, thermalize slower: their approach to equilibrium is limited by the hydrodynamic build-up of large-scale fluctuations. We show that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behaviour, expanding the applicability of macroscopic fluctuation theory to the quantum regime.