Universal thermodynamics of an SU(N) Fermi-Hubbard Model

The SU(N) Fermi-Hubbard model can be engineered by loading ultracold alkaline-earth-like atoms (AEAs) in optical lattices, and N can span N=1,…,10. In previous numerical results using determinant Quantum Monte Carlo and numerical linked cluster expansion (NLCE) [PRA 104 043316 (2021)] we found that in a homogeneous square lattice with one particle per site on average, thermodynamic observables as a function of temperature obey a universal scaling with N. Since experiments do not have access to temperature but rather entropy and densities typically vary in the trap, it is an open question how the universal scaling manifests in more accessible experimental observables. We will describe our progress answering this question, and routes to accessing the universal scaling experimentally.