Luca Barbiero

Abstract Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible setup based on ultracold magnetic lanthanide atoms trapped in a one-dimensional optical lattice. Leveraging their large magnetic moments, we design a fermionic t–J model with independently tunable hopping, spin-spin couplings, and onsite interaction.

, Gediminas Juzeliunas, Domantas Burba, Luca Barbiero Geometrical frustration and long-range couplings are key contributors to structural transitions throughout physics. We design a scheme where both ingredients naturally emerge in a Raman induced subwavelength lattice. We first demonstrate that Raman-coupled multicomponent quantum gases can realize a highly versatile frustrated Hubbard Hamiltonian with long-range interactions.