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DY: Fachverband Dynamik und Statistische Physik
DY 46: Many-body Quantum Dynamics I
DY 46.6: Vortrag
Donnerstag, 19. März 2020, 11:15–11:30, HÜL 186
Boltzmann relaxation dynamics in the strongly interacting Fermi-Hubbard model — •Friedemann Queisser1,2,3 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
Via the hierarchy of correlations, we study the Mott insulator phase of the Fermi-Hubbard model in the limit of strong interactions and derive a quantum Boltzmann equation describing its relaxation dynamics. In stark contrast to the weakly interacting case, we find that the scattering cross sections strongly depend on the momenta of the colliding quasi-particles and holes. Therefore, the relaxation towards equilibrium crucially depends on the spectrum of excitations. For example, for particle-hole excitations directly at the minimum of the (direct) Mott gap, the scattering cross sections vanish such that these excitations can have a very long life-time.
Reference:
F. Queisser and R. Schützhold, Phys. Rev. A 100, 053617 (2019)