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

We consider the coherent exciton transport, modeled by continuous-time quantum walks, on Erdoes-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,...

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Bibliographic Details
Published in:Physica A 2011-06, Vol.390 (11), p.1853-1860
Main Author: Agliari, E
Format: Article
Language:English
Subjects:
Coherence
Decay rate
Graphs
Mathematical analysis
Statistical mechanics
Survival
Transport
Trapping
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Summary:We consider the coherent exciton transport, modeled by continuous-time quantum walks, on Erdoes-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.
ISSN:0378-4371
DOI:10.1016/j.physa.2011.01.021