Quantum simulation of Fermi-Hubbard dynamics and bosonic Laughlin states

Quantum simulations with ultracold atoms in optical lattices expand into new regimes with ample room for discovery. I will present work that investigates the intricate interplay between spin and charge in the Fermi-Hubbard model, and that gives evidence for magnetic polarons, whose dynamics may explain emergent properties of quantum materials such as high-temperature superconductivity. We directly observe the formation dynamics and subsequent spreading of individual magnetic polarons, enabling the study of out-of-equilibrium emergent phenomena in the Fermi-Hubbard model, one dopant at a time. In our bosonic work we realize strongly correlated topological states of matter and find evidence for a two-particle fractional quantum Hall state following a bottom-up approach.