Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 67: Networks: From Topology to Dynamics (joint session DY/ BP/SOE)

DY 67.5: Talk

Friday, March 20, 2015, 10:30–10:45, BH-N 128

Breakdown of quantum transport in scale-free networks — •Nikolaj Kulvelis and Oliver Mülken — Uni-Freiburg, Deutschland

We apply the model of continuous time quantum walks (CTQW) to a subset of scale-free networks (SFN) containing solely trees. A quantity characterising the global transport for large time scales is introduced and, by means of estimating the dominant spectral degeneracy, calculated for given system size and branching strength. Taking the limit of infinite system size a phase transition resembling breakdown of transport is observed beyond a critical branching strength. All our analytic calculations are supported by Monte Carlo simulations and discussed.