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Equation of State and Thermometry of the 2D SU(N) Fermi-Hubbard Model
G Pasqualetti1,2,3, O Bettermann1,2,3, N Darkwah Oppong1,2,3
1Ludwig-Maximilians-Universität, Schellingstraße 4, 80799 München, Germany.
Abstract:
We characterize the equation of state (EoS) of the SU(N>2) Fermi-Hubbard Model (FHM) in a two-dimensional single-layer square optical lattice. We probe the density and the site occupation probabilities as functions of interaction strength and temperature for N=3, 4, and 6. Our measurements are used as a benchmark for state-of-the-art numerical methods including determinantal quantum Monte Carlo and numerical linked cluster expansion. By probing the density fluctuations, we compare temperatures determined in a model-independent way by fitting measurements to numerically calculated EoS results, making this a particularly interesting new step in the exploration and characterization of the SU(N) FHM.
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