Interaction Quench in the Hubbard model

Details Interaction Quench in the Hubbard model Interaction Quench in the Hubbard model

2008-02-21

arxiv.org/abs/0802.3202v3

Phys. Rev. Lett. 100, 175702 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

Final version as published

Scientific paper

10.1103/PhysRevLett.100.175702

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 with a temperature T proportional to U.

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