Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 46: Many-body Quantum Dynamics I
DY 46.7: Talk
Thursday, March 19, 2020, 11:30–11:45, HÜL 186
Boltzmann relaxation dynamics of strongly interacting spinless fermions on a lattice — •Friedemann Queisser1,2,3, Sebastian Schreiber1, Peter Kratzer1, 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
Motivated by the recent interest in nonequilibrium phenomena in quantum many-body systems, we study
strongly interacting fermions on a lattice by deriving and numerically solving quantum Boltzmann equations
that describe their relaxation to thermodynamic equilibrium. The derivation is carried out by inspecting the
hierarchy of correlations within the framework of the 1/Z expansion. Applying the Markov approximation, we
obtain the dynamic equations for the distribution functions. Interestingly, we find that in the strong-coupling
limit, collisions between particles and holes dominate over particle-particle and hole-hole collisions – in stark
contrast to weakly interacting systems. As a consequence, our numerical simulations show that the relaxation
timescales strongly depend on the type of excitations (particles or holes or both) that are initially present.
Reference: arXiv:1909.12802