Appears in collection : 2024 - T1 - WS1 - Quantum simulators

Alkaline-earth and ytterbium cold atomic gases make it possible to simulate SU(N)-symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected to give rise to a variety of novel phenomena ranging from molecular Luttinger liquids to (symmetry-protected) topological phases.

I will discuss some of the phases that can be stabilized in a one dimensional lattice, including e.g. gapped valence-bond solids in frustrated chains, non-Landau quantum phase transitions in modulated SU(N) Heisenberg spin chains, as well as chiral spin liquids found numerically on various two-dimensional lattices.