Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015] Année : 2015

Statistical theory of designed quantum transport across disordered networks

Roberto Mulet
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Thomas Wellens
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Andreas Buchleitner
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Résumé

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.

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hal-03216943 , version 1 (04-05-2021)

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Mattia Walschaers, Roberto Mulet, Thomas Wellens, Andreas Buchleitner. Statistical theory of designed quantum transport across disordered networks. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2015, 91 (4), ⟨10.1103/PhysRevE.91.042137⟩. ⟨hal-03216943⟩
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