Regensburg 2016 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 58: Networks: From Topology to Dynamics III (joint session DY/BP/SOE)

DY 58.1: Talk

Thursday, March 10, 2016, 15:30–15:45, H47

Complex Quantum Networks: From Universal Breakdown to Optimal Transport — •Oliver Mülken — Physikalisches Institut, Universität Freiburg, Freiburg, Deutschland

We study the transport efficiency of excitations on complex quantum networks with and without loops. For this we consider sequentially growing networks with different topologies of the sequential subgraphs. This can lead to a universal complete breakdown of transport for tree-like [1] or complete-graph-like [2] sequential subgraphs, while it leads to optimal transport for linear [1] or ring-like [2] sequential subgraphs. The transition to optimal transport for networks with loops can be triggered by systematically reducing the number of loops of complete-graph-like sequential subgraphs in a small-world procedure. These effects are explained on the basis of the spectral properties of the network's Hamiltonian. Our theoretical considerations are supported by numerical Monte-Carlo simulations for complex quantum networks with a scale-free size distribution of sequential subgraphs and a small-world-type transition to optimal transport in the case of loops.

[1] Phys. Rev. Lett. 115, 120602 (2015)

[2] arXiv:1511.00910