06.09 FOCUS SESSION: Hubbard SimulatorsHubbard Quantum Simulations - from Dipolar Quantum Solids to Kinetic Magnetism

Quantum simulations with ultracold atoms in optical lattices enter the next phase, in which we can extend bosonic and fermionic Hubbard models in a wide range of ways. Using magnetic long-ragne interacations we realize strongly correlated dipolar quantum gases in a Hubbard lattice and observe quantum-phase transitions to stripe and checkerboard phases. In our Fermi-Hubbard system we are making progress on lowering temperatures and observe Nagaoka Ferromagnetism, a surprising realization of kinetic magnetism, emerging as we introduce geometric spin frustration in a triangular Fermi-Hubbard lattice. We use floquet engineering to further extend the programmability of Hubbard simulators.