Trapping of continuous-time quantum walks on Erdös–Rényi graphs

E. Agliari

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 11, 1853-1860

Abstract: We consider the coherent exciton transport, modeled by continuous-time quantum walks, on Erdös–Rény 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.

Keywords: Quantum walks; Trapping; Random graphs (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:11:p:1853-1860

DOI: 10.1016/j.physa.2011.01.021

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