Regensburg 2019 – wissenschaftliches Programm

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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 9.1: Vortrag

Montag, 1. April 2019, 15:30–15:45, H19

Environment induced pre-thermalization in the Hubbard dimer — •Nikodem Szpak¹, Eric Kleinherbers¹, Friedemann Queisser², Jürgen König¹, and Ralf Schützhold^2,3 — ¹Fakultät für Physik, Universität Duisburg-Essen — ²Helmholtz-Zentrum Dresden-Rossendorf — ³Institut für Theoretische Physik, Technische Universität Dresden

We study a strongly interacting two-site Fermi-Hubbard model representing two coupled quantum dots and couple them to Markovian baths. We compare the real-time diagrammatic technique derived within the Keldysh formalism with a simplified model in the form of a Lindblad master equation for the reduced density matrix based on the Born-Markov approximation. Solving it exactly, we observe equilibration at different time-scales corresponding to thermalization and pre-thermalization processes.