Berlin 2015 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 21: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 3 (joint session TT/ DY)
DY 21.1: Talk
Tuesday, March 17, 2015, 14:00–14:15, H 3010
Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model — •Florian Dorfner1, Lev Vidmar1, Christoph Brockt2, Eric Jeckelmann2, and Fabian Heidrich-Meisner1 — 1Ludwig-Maximilians-Universität München, Germany — 2Leibniz Universität Hannover, Germany
We study the real-time dynamics of a highly excited charge carrier coupled to quantum phonons via a Holstein-type electron-phonon coupling [1]. This is a prototypical example for the non-equilibrium dynamics in an interacting many-body system where excess energy is transferred from electronic to phononic degrees of freedom. We use an efficient numerical method, i.e., diagonalization in a limited functional space, to study the non-equilibrium dynamics on a finite one-dimensional chain. We perform a comprehensive analysis of the time evolution in different parameter regimes by calculating the electron, phonon and electron-phonon coupling energies, and the electronic momentum distribution function. For example, we demonstrate that in the weak coupling regime, the relaxation dynamics obtained from the Boltzmann equation agrees very well with the numerical data. We also study the time dependence of the eigenstates of the single-site reduced density matrix, the so-called optimal phonon modes, unveiling that their structure in non-equilibrium contains very useful information for the interpretation of the numerical data. Support from the DFG through FOR 1807 is gratefully acknowledged.
[1] Dorfner et al, arXiv:1411.5074 (2014).