Interaction Quench in the Hubbard Model

Michael Moeckel and Stefan Kehrein
Phys. Rev. Lett. 100, 175702 – Published 2 May 2008

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 TU.

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  • Received 10 March 2008

DOI:https://doi.org/10.1103/PhysRevLett.100.175702

©2008 American Physical Society

Authors & Affiliations

Michael Moeckel and Stefan Kehrein

  • Arnold-Sommerfeld-Center for Theoretical Physics and CeNS, Department Physik, Ludwig-Maximilians-Universität, München, Germany

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Issue

Vol. 100, Iss. 17 — 2 May 2008

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