Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 9: Dynamics in many-body systems: Equilibration and localization II (joint session DY/TT)

DY 9.4: Talk

Monday, April 1, 2019, 16:15–16:30, H19

Boltzmann relaxation dynamics in strongly interacting quantum lattice systems — •Friedemann Queisser^2,3 and Ralf Schützhold^1,2,3 — 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)