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Interaction Quench in the Hubbard Model

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Moeckel, Michael, Kehrein, Stefan·2008·Physical Review Letters
DOI 10.1103/physrevlett.100.175702
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Abstract

Motivated by recent experiments in ultracold atomic gases that explore the nonequilibrium dynamics of interacting quantum many-body systems, we investigate the opposite limit of Landau's Fermi-liquid paradigm: We study a Hubbard model with a sudden interaction quench, that is, the interaction is switched on at time t=0. Using the flow equation method, we are able to study the real time dynamics for weak interaction U in a systematic expansion and find three clearly separated time regimes: (i) An initial buildup of correlations where the quasiparticles are formed. (ii) An intermediate quasi-steady regime resembling a zero temperature Fermi liquid with a nonequilibrium quasiparticle distribution function. (iii) The long-time limit described by a quantum Boltzmann equation leading to thermalization of the momentum distribution function with a temperature T proportional, variantU.

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Metadata

Authors
Moeckel, M., & Kehrein, S.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2008-05-02
Volume
100
Issue
17
Pages
175702-175702
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.100.175702
OpenAlex
W2075228548
Cited by
467
References
0
FWCI
13.73
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Interaction Quench in the Hubbard Model. https://app.cochat.ai/papers/10.1103/physrevlett.100.175702
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Moeckel, M., & Kehrein, S. (2008). Interaction Quench in the Hubbard Model. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.175702

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.