Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 52: Quantum Dynamics, Decoherence and Quantum Information

DY 52.11: Talk

Thursday, March 19, 2020, 17:45–18:00, HÜL 186

Relaxation dynamics in a Hubbard dimer coupled to fermionic baths — Eric Kleinherbers¹, •Nikodem Szpak¹, Jürgen König¹, and Ralf Schützhold^1,2,3 — ¹Theoretische Physik, Universität Duisburg-Essen and CENIDE, Lotharstr. 1, 47048 Duisburg — ²Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden — ³Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden

We study relaxation dynamics in a strongly-interacting two-site Fermi-Hubbard system coupled to fermionic baths. Starting with an ab initio approach, we apply several approximations leading through the real-time diagrammatics to obtain a Lindblad master equation for the dimer system itself. The latter offers a direct phenomenogical interpretation of the particle flows between the dimer and the baths. However, the approximations must be chosen and performed carefully, as for instance the local-bath approximation seems to be in contradiction with the Gibbbs final equilibrium state. In particular, at temperature zero, conserved quantities apear which lead to deceherence-free sectors. We demonstrate that the relaxation takes place in several steps on different time-scales and discuss problems related to intruduction of different approximations [1].

[1] E. Kleinherbers, N. Szpak, J. König, and R. Schützhold, arXiv: 1910:04130 (2019)