title: Statistical theory of designed quantum transport across disordered networks.
abstract: We explain how centrosymmetry, together with a dominant doublet of energy eigenstates in the local density of states, can guarantee interference-assisted, strongly enhanced, strictly coherent quantum excitation transport between two predefined sites of a random network of two-level systems. Starting from a generalization of the chaos-assisted tunnelling mechanism, we formulate a random matrix theoretical framework for the analytical prediction of the transfer time distribution, of lower bounds of the transfer efficiency, and of the scaling behavior of characteristic statistical properties with the size of the network. We show that these analytical predictions compare well to numerical simulations, using Hamiltonians sampled from the Gaussian orthogonal ensemble.
authors.affiliation: Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.|Instituut voor Theoretische Fysica, University of Leuven, Celestijnenlaan 200D, B-3001 Heverlee, Belgium.
authors.forename: Mattia
authors.initials: M
authors.lastname: Walschaers
authors.affiliation: Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.|Complex Systems Group, Department of Theoretical Physics, University of Havana, Cuba.
authors.forename: Roberto
authors.initials: R
authors.lastname: Mulet
authors.affiliation: Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.
authors.forename: Thomas
authors.initials: T
authors.lastname: Wellens
authors.affiliation: Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.|Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität Freiburg, Albertstr. 19, D-79104 Freiburg, Germany.
authors.forename: Andreas
authors.initials: A
authors.lastname: Buchleitner
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D011336:Probability; D011789:Quantum Theory