title: Complex quantum networks: From universal breakdown to optimal transport.
abstract: We study the transport efficiency of excitations on complex quantum networks with loops. For this we consider sequentially growing networks with different topologies of the sequential subgraphs. This can lead either to a universal complete breakdown of transport for complete-graph-like sequential subgraphs or to optimal transport for ringlike sequential subgraphs. The transition to optimal transport 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.
authors.affiliation: Physikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany.
authors.forename: Oliver
authors.initials: O
authors.lastname: Mülken
authors.affiliation: Physikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany.
authors.forename: Maxim
authors.initials: M
authors.lastname: Dolgushev
authors.affiliation: Departamento de Física, Universidade Federal do Amazonas, 3000 Japiim, 69077-000 Manaus-AM, Brazil.|Institut für Theoretische Physik, Technische Universtät Dresden, 01062 Dresden, Germany.
authors.forename: Mircea
authors.initials: M
authors.lastname: Galiceanu
mesh_terms: D008962:Models, Theoretical; D011789:Quantum Theory