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

Pasqualetti, G.; Bettermann, O.; Darkwah Oppong, N.; Ibarra-García-Padilla, E.; Dasgupta, S.; Scalettar, R. T.; Hazzard, K. R. A.; Bloch, I.; Fölling, S.

doi:10.1103/PhysRevLett.132.083401

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

Journal Article · 20 February 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.132.083401 · OSTI ID:2310411

Pasqualetti, G.; Bettermann, O.;

;

; Bloch, I.;

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. Published by the American Physical Society 2024

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Research Organization:: University of California, Davis, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); Robert A. Welch Foundation; USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES); W. F. Keck Foundation

Grant/Contract Number:: SC0014671; SC0022311

OSTI ID:: 2310411

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 8 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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

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