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TT: Fachverband Tiefe Temperaturen
TT 20: Dynamics in many-body systems: Equilibration and localization II (joint session DY/TT)
TT 20.4: Vortrag
Montag, 1. April 2019, 16:15–16:30, H19
Boltzmann relaxation dynamics in strongly interacting quantum lattice systems — •Friedemann Queisser2,3 and Ralf Schützhold1,2,3 — 1Fakultät für Physik, Universität Duisburg-Essen, Lotharstraße 1, Duisburg 47057, Germany — 2Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany — 3Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
To the best of our knowledge, we present the first derivation of the Boltzmann
equations for strongly interacting spinless fermions on a lattice in higher dimensions.
Our derivation is based on a hierarchy of correlations [1].
For a large repulsive nearest neighbor interaction, the ground state at half filling is
given by a charge density wave state.
In this limit, we find that the collisions between particles and
holes dominate over particle-particle and hole-hole scattering.
Furthermore we shall discuss the validity of the η-theorem and the dependence
of the thermalization dynamics on the type of excitation (particles or holes).
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[1] P. Navez and R. Schützhold, Phys. Rev. A 82, 063603 (2010)