Regensburg 2016 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 8: Correlated Electrons: Quantum Impurities, Kondo Physics
TT 8.8: Vortrag
Montag, 7. März 2016, 12:15–12:30, H21
Lindblad-Driven Discretized Leads for Non-Equilibrium Steady-State Transport in Quantum Impurity Models — •Frauke Schwarz1, Moshe Goldstein2, Andreas Weichselbaum1, and Jan von Delft1 — 1Physics Department, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universität, Munich — 2Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 6997801, Israel
The description of interacting quantum impurity models in steady-state non-equilibrium is an open challenge for computational many-particle methods: the numerical requirement of using a finite number of lead levels and the physical requirement of describing a truly open quantum system are seemingly incompatible. One possibility to bridge this gap is the use of additional continuous reservoirs coupled to the lead levels and represented by Lindblad terms in the Liouville equation [1]. Based on a simple scheme for the evaluation of Green’s functions in quadratic Lindblad models, we discuss some important properties of this Lindblad approach. Moreover, we present first results on the single-impurity Anderson model out of equilibrium obtained within a matrix product state framework.
A.A. Dzhioev, D. S. Kosov, J. Chem. Phys. 134, 044121 (2011).