A neutral-atom Hubbard quantum simulator in the cryogenic regime

Fuente: arXiv
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Auteurs principaux: Xu, Muqing, Kendrick, Lev Haldar, Kale, Anant, Gang, Youqi, Feng, Chunhan, Zhang, Shiwei, Young, Aaron W., Lebrat, Martin, Greiner, Markus
Format: Preprint
Publié: 2025
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author Xu, Muqing
Kendrick, Lev Haldar
Kale, Anant
Gang, Youqi
Feng, Chunhan
Zhang, Shiwei
Young, Aaron W.
Lebrat, Martin
Greiner, Markus
author_facet Xu, Muqing
Kendrick, Lev Haldar
Kale, Anant
Gang, Youqi
Feng, Chunhan
Zhang, Shiwei
Young, Aaron W.
Lebrat, Martin
Greiner, Markus
contents Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these optical lattice material analogs are still too high to address many open problems. Here, we demonstrate a several-fold reduction in temperature, bringing large-scale quantum simulations of the Hubbard model into an entirely new regime. This is accomplished by transforming a low entropy product state into strongly-correlated states of interest via dynamic control of the model parameters, which is extremely challenging to simulate classically. At half filling, the long-range antiferromagnetic order is close to saturated, leading to a temperature of $T/t=0.05_{-0.05}^{0.06}$ based on comparisons to numerically exact simulations. Doped away from half-filling, it is exceedingly challenging to realize systematically accurate and predictive numerical simulations. Importantly, we are able to use quantum simulation to identify a new pathway for achieving similarly low temperatures with doping. This is confirmed by comparing short-range spin correlations to state-of-the-art, but approximate, constrained-path auxiliary field quantum Monte Carlo simulations. Compared to the cuprates, the reported temperatures correspond to a reduction from far above to below room temperature, where physics such as the pseudogap and stripe phases may be expected. Our work opens the door to quantum simulations that solve open questions in material science, develop synergies with numerical methods and theoretical studies, and lead to discoveries of new physics.
format Preprint
id arxiv_https___arxiv_org_abs_2502_00095
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A neutral-atom Hubbard quantum simulator in the cryogenic regime
Xu, Muqing
Kendrick, Lev Haldar
Kale, Anant
Gang, Youqi
Feng, Chunhan
Zhang, Shiwei
Young, Aaron W.
Lebrat, Martin
Greiner, Markus
Quantum Gases
Strongly Correlated Electrons
Quantum Physics
Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these optical lattice material analogs are still too high to address many open problems. Here, we demonstrate a several-fold reduction in temperature, bringing large-scale quantum simulations of the Hubbard model into an entirely new regime. This is accomplished by transforming a low entropy product state into strongly-correlated states of interest via dynamic control of the model parameters, which is extremely challenging to simulate classically. At half filling, the long-range antiferromagnetic order is close to saturated, leading to a temperature of $T/t=0.05_{-0.05}^{0.06}$ based on comparisons to numerically exact simulations. Doped away from half-filling, it is exceedingly challenging to realize systematically accurate and predictive numerical simulations. Importantly, we are able to use quantum simulation to identify a new pathway for achieving similarly low temperatures with doping. This is confirmed by comparing short-range spin correlations to state-of-the-art, but approximate, constrained-path auxiliary field quantum Monte Carlo simulations. Compared to the cuprates, the reported temperatures correspond to a reduction from far above to below room temperature, where physics such as the pseudogap and stripe phases may be expected. Our work opens the door to quantum simulations that solve open questions in material science, develop synergies with numerical methods and theoretical studies, and lead to discoveries of new physics.
title A neutral-atom Hubbard quantum simulator in the cryogenic regime
topic Quantum Gases
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2502.00095