Stuttgart 2012 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 35: Poster 2
Q 35.15: Poster
Wednesday, March 14, 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 Schützhold1 — 1Fakultät 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)