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Dresden 2020 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 46: Many-body Quantum Dynamics I

DY 46.7: Vortrag

Donnerstag, 19. März 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 Schützhold1,2,31Fakultät 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

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