Stuttgart 2012 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 35: Poster 2

Q 35.15: Poster

Mittwoch, 14. März 2012, 16:30–19:00, Poster.I+II

Equilibration versus thermalization in the Bose- and Fermi-Hubbard model — •Friedemann Queisser1, Patrick Navez2, Konstantin Krutitsky1, and Ralf Schützhold11Fakultät für Physik, Universität Duisburg-Essen, Lotharstrasse 1, 47057 Duisburg, Germany — 2Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

The question of whether and how strongly interacting many-body quantum systems equilibrate and thermalize is still not well understood. To gain some insight, we study the Bose-Hubbard model after a quantum quench within the Mott phase. Via an 1/Z-expansion into inverse powers of the coordination number Z, we calculate the time-dependence of the on-site density matrix and the two-point-correlations. It turns out that these observables settle down to some quasi-stationary state, but this state is not thermal. Thus, thermalization (if it occurs) takes much longer than this equilibration process. Analogous results are obtained for the Fermi-Hubbard model when the system is initially in its ground state at half filling.
References: Phys. Rev. A 82, 063603 (2010)

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