Dresden 2009 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 1: Statistical physics I (general)

DY 1.6: Vortrag

Montag, 23. März 2009, 12:00–12:15, HÜL 386

Dispersion of matter waves in gaussian disorder potentials — •Christian J. Harrer, Christopher Gaul, and Cord A. Müller — Universität Bayreuth, Germany

We wish to determine the effective dispersion relation of matter waves in disorder potentials by diagrammatic perturbation theory [1]. While conventional perturbation theory truncates the self energy at finite order, the recently developed momentum average method (MA) [2] approximates each diagram of the self energy series but retains all orders and all diagrams so that the whole asymptotic series is represented rather accurately. We use this idea for matter waves in gaussian correlated disorder [3] and, using Borel summation and related techniques, obtain an analytical result for the self energy, which allows to calculate the mean free path in good agreement with numerical results.

[1] R.C. Kuhn et al., NJP 9, 161 (2007)

[2] M. Berciu, PRL 97, 36402 (2006)

[3] M. Hartung et al., PRL 101, 020603 (2008)