6533b85cfe1ef96bd12bc0c6
RESEARCH PRODUCT
Trapping of Continuous-Time Quantum walks on Erdos-Renyi graphs
Elena Agliarisubject
Statistics and ProbabilityRandom graphQuantum PhysicsDegree (graph theory)FOS: Physical sciencesProbability and statisticsCondensed Matter PhysicsErdős–Rényi modelDistribution (mathematics)Quantum mechanicsQuantum walkQuantum Physics (quant-ph)ConnectivityStationary stateQuantum walks; Random graphs; Trapping; Statistics and Probability; Condensed Matter PhysicsMathematicsdescription
We consider the coherent exciton transport, modeled by continuous-time quantum walks, on Erd\"{o}s-R\'{e}ny 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 |