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arXiv · 2305.18967

Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model

Giulio Pasqualetti·Oscar Bettermann·Nelson Darkwah Oppong·Eduardo Ibarra-García-Padilla·Sohail Dasgupta·Richard T. Scalettar·Kaden R. A. Hazzard·Immanuel Bloch·Simon Fölling
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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 (DQMC) and numerical linked cluster expansion (NLCE). 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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Giulio Pasqualetti, Oscar Bettermann, Nelson Darkwah Oppong, Eduardo Ibarra-García-Padilla, Sohail Dasgupta, Richard T. Scalettar, Kaden R. A. Hazzard, Immanuel Bloch, Simon Fölling. 2023-05-30. Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model. https://doi.org/10.1103/physrevlett.132.083401

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