Transport properties of a SU(Ν) Fermi-Hubbard system

Transport properties of strongly correlated matter offer some of the most profound insights into its nature, as well as some of its greatest mysteries, such as strange metallicity and pseudogap behaviors. New settings to explore unconventional transport properties offer a chance to unravel many of the mysteries surrounding strongly correlated materials. One such new form of strongly correlated ultracold quantum matter has recently been realized with alkaline-earth atoms in optical lattices. These realize an SU(Ν) symmetric Hubbard model, and techniques such as quantum gas microscopy or Bragg spectroscopy can probe its transport properties. We calculate the optical conductivity of the SU(Ν) Hubbard model with exact diagonalization and linear response theory both in the ground state and in finite-temperature systems in experimentally relevant regions. We will discuss to what extent phenomena such as pseudogap and strange metallicity appear in the experimentally accessible observables.