Trapping of Continuous-Time Quantum walks on Erdos-Renyi graphs

Details Trapping of Continuous-Time Quantum walks on Erdos-Renyi graphs Trapping of Continuous-Time Quantum walks on Erdos-Renyi graphs

2011-02-19

arxiv.org/abs/1102.3994v1

Physica A (2011)

Physics

Quantum Physics

13 pages, 3 figures

Scientific paper

10.1016/j.physa.2011.01.021

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.

Affiliated with

Also associated with

No associations

Rating

Trapping of Continuous-Time Quantum walks on Erdos-Renyi graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Trapping of Continuous-Time Quantum walks on Erdos-Renyi graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Trapping of Continuous-Time Quantum walks on Erdos-Renyi graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-159465