Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910347079712768 |
|---|---|
| author | Pasqualetti, Giulio Bettermann, Oscar Oppong, Nelson Darkwah Ibarra-García-Padilla, Eduardo Dasgupta, Sohail Scalettar, Richard T. Hazzard, Kaden R. A. Bloch, Immanuel Fölling, Simon |
| author_facet | Pasqualetti, Giulio Bettermann, Oscar Oppong, Nelson Darkwah Ibarra-García-Padilla, Eduardo Dasgupta, Sohail Scalettar, Richard T. Hazzard, Kaden R. A. Bloch, Immanuel Fölling, Simon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_18967 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model Pasqualetti, Giulio Bettermann, Oscar Oppong, Nelson Darkwah Ibarra-García-Padilla, Eduardo Dasgupta, Sohail Scalettar, Richard T. Hazzard, Kaden R. A. Bloch, Immanuel Fölling, Simon Quantum Gases Strongly Correlated Electrons Quantum Physics 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. |
| title | Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model |
| topic | Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2305.18967 |