Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Poster - Quanten Systems

DY 26.12: Poster

Dienstag, 8. März 2016, 18:15–21:00, Poster C

DMRG simulations of relaxation dynamics of interacting electrons in a disordered quantum wire — •Felix Weiner¹, Peter Schmitteckert², and Ferdinand Evers¹ — ¹Institut I - Theoretische Physik, Universität Regensburg — ²Institut für Theoretische Physik IV, Heinrich-Heine-Universität Düsseldorf

We study high temperature relaxation dynamics of electrons with short range interaction in a disordered quantum wire. Such systems are believed to exhibit many-body localisation, which has attracted considerable attention in recent thereotical investigations. Our simulations are performed by means of time-dependent density matrix renormalization group (DMRG) with the standard extension to mixed state evolution via purification. Accessible time scales in this approach are known to be limited by the fast growth of entanglement with time. Nevertheless, we are able to demonstrate results for time traces that are converged in a systematic way for a given disorder realisation. Charge relaxation is investigated via a wave-packet propagation. Besides the variance also higher moments of the distribution are investigated because one would expect a non-Gaussian broadening. The goal of the project is to obtain, eventually, the time evolution of the entire (non-Gaussian) distribution function in the localised and delocalised phase.