Regensburg 2013 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 40: Poster Session Correlated Electrons

TT 40.70: Poster

Mittwoch, 13. März 2013, 15:00–19:00, Poster D

Kinetic description of the thermalization dynamics of weakly interacting quantum systems — •Michael Stark and Marcus Kollar — Theoretical Physics III, Center for electronic Correlations and Magnetism, University of Augsburg, 86135 Augsburg

After a sudden disruption, weakly interacting quantum systems first relax to a prethermalized state [1] that can be described by perturbation theory and a generalized Gibbs ensemble [2]. Using these properties of the prethermalized state we perturbatively derive a kinetic equation which becomes a quantum Boltzmann equation in the scaling limit of vanishing interaction [3]. Applying this to interaction quenches in the fermionic Hubbard model [4] we find that the momentum distribution relaxes to the thermal prediction of statistical mechanics. For not too large interaction, this two-stage scenario can thus provide a quantitative understanding of the time evolution leading from a pure initial state to the thermal state.
[1] M. Moeckel and S. Kehrein, PRL 100, 175702 (2008); Ann. Phys. (New York) 324, 2146 (2009)
M. Kollar, F. A. Wolf, and M. Eckstein, PRB 84, 054304 (2011)
L. Erdös, M. Salmhofer, H.-T. Yau, J. Stat. Phys. 116, 367 (2004)
M. Eckstein, M. Kollar, and P. Werner, PRL 103, 056403 (2009); PRB 81, 115131 (2010)