High temperature transport in the one dimensional mass-imbalanced Fermi-Hubbard model Article Swipe

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YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2404.08076

We study transport in the one-dimensional mass-imbalanced Fermi-Hubbard model at infinite temperature, focusing on the case of strong interactions. Prior theoretical and experimental investigations have revealed unconventionally long transport timescales, with complications due to strong finite size effects. We compute the dynamical current-current correlation function directly in the thermodynamic limit using infinite tensor network techniques. We show that transport in the strong-imbalance limit is dominated by AC resonances, which we compute with an analytic expansion. We study the dephasing of these resonances with mass imbalance, $η$. In the small-imbalance limit, the model is nearly integrable. We connect these unusual limits by computing the DC conductivity and transport decay time as a function of $η$ and the interaction strength $U/t$. We propose an experimental protocol to measure these correlation functions in cold atom experiments.

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Physics

Hubbard Model

Public Transport

Condensed Matter Physics

Quantum Mechanics

Mathematics

Mathematical Analysis

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Physics Limit (mathematics) Dephasing Hubbard model Function (biology) Current (fluid) Measure (data warehouse) Fermi Gamma-ray Space Telescope Tensor (intrinsic definition) Correlation function (quantum field theory) Statistical physics Mass transport Condensed matter physics Quantum mechanics Mathematics Thermodynamics Mathematical analysis Geometry Computer science Engineering physics Biology Superconductivity Dielectric Evolutionary biology Database

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2404.08076
PDF: https://arxiv.org/pdf/2404.08076
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4394838705

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DOI: https://doi.org/10.48550/arxiv.2404.08076

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Title: High temperature transport in the one dimensional mass-imbalanced Fermi-Hubbard model

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-04-11

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Authors: Thomas G. Kiely, Erich J. Mueller

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Landing page: https://arxiv.org/abs/2404.08076

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PDF URL: https://arxiv.org/pdf/2404.08076

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Concepts: Physics, Limit (mathematics), Dephasing, Hubbard model, Function (biology), Current (fluid), Measure (data warehouse), Fermi Gamma-ray Space Telescope, Tensor (intrinsic definition), Correlation function (quantum field theory), Statistical physics, Mass transport, Condensed matter physics, Quantum mechanics, Mathematics, Thermodynamics, Mathematical analysis, Geometry, Computer science, Engineering physics, Biology, Superconductivity, Dielectric, Evolutionary biology, Database

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sustainable_development_goals[0].id	https://metadata.un.org/sdg/7
sustainable_development_goals[0].score	0.4699999988079071
sustainable_development_goals[0].display_name	Affordable and clean energy
citation_normalized_percentile