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

Pasqualetti, Giulio; Bettermann, O.; Oppong, N. Darkwah; 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 · 21 February 2024 · Physical Review Letters

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

Pasqualetti, Giulio ^[1]; Bettermann, O. ^[1];

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^[2];

^[3];

^[4];

^[5]; Bloch, I. ^[1];

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Ludwig-Maximilians-Universität, Munchen (Germany); Max-Planck-Institut für Quantenoptik, Garching (Germany); Munich Center for Quantum Science and Technology (MCQST), Munchen (Germany)
Rice University, Houston, TX (United States); University of California, Davis, CA (United States); San José State University, CA (United States)
Rice University, Houston, TX (United States)
University of California, Davis, CA (United States)
Rice University, Houston, TX (United States); University of California, Davis, CA (United States)

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

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

Grant/Contract Number:: SC0014671; SC0022311; C-1872; PHY-1848304; 995764; CNS-1338099; PHY1066293; PHY1748958; SC-0022311

OSTI ID:: 2310411

Alternate ID(s):: OSTI ID: 2432280

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

Publisher:: American Physical Society (APS)Copyright 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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