4.6 Article

Trapping of continuous-time quantum walks on Erdos-Renyi graphs

Journal

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 390, Issue 11, Pages 1853-1860

Publisher

ELSEVIER
DOI: 10.1016/j.physa.2011.01.021

Keywords

Quantum walks; Trapping; Random graphs

Funding

  1. FIRB [RBFR08EKEV]

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We consider the coherent exciton transport, modeled by continuous-time quantum walks, on Erdos-Reny graphs in the presence of a random distribution of traps. The role of trap concentration and of the substrate dilution is deepened showing that, at long times and for intermediate degree of dilution, the survival probability typically decays exponentially with a (average) decay rate which depends non-monotonically on the graph connectivity; when the degree of dilution is either very low or very high, stationary states, not affected by traps, get more likely giving rise to a survival probability decaying to a finite value. Both these features constitute a qualitative difference with respect to the behavior found for classical walks. (C) 2011 Elsevier B.V. All rights reserved.

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