Dresden 2014 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 79: Correlated Electrons - Poster Session
TT 79.27: Poster
Mittwoch, 2. April 2014, 15:00–19:00, P2
Towards a Numerical Renormalization Group description of the steady-state nonequilibrium single-impurity Anderson model using Lindblad driving — •Frauke Schwarz1, Ireneusz Weymann2, Andreas Weichselbaum1, and Jan von Delft1 — 1Physics Department, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universität, Munich — 2Faculty of Physics, Adam Mickiewicz University, Poznań
Wilson’s Numerical Renormalization Group (NRG) allows to describe many quantum impurity problems in equilibrium. But it remains a challenge to extend the use of NRG to situations of steady-state non-equilibrium, such as current through a quantum dot at finite bias. In our approach we consider additional baths coupled to the fermionic leads of the given impurity problem. The effect of these additional baths on the leads can be described by using Lindblad operators [1,2] in the Liouville equation for the density matrix of the dot and the leads. To efficiently solve the Liouville equation we use the stochastic quantum trajectory method [2].
Here we present first results how the Lindblad operators could be chosen to hold the leads in thermal equilibrium at a specific chemical potential and temperature and how the quantum trajectory method can be implemented in terms of time-dependent NRG based on complete basis sets.
G. Lindblad, Commun. Math. Phys. 48, 119 (1976)
C.W. Gardiner, P. Zoller, Quantum Noise ,Springer , Berlin, 200)