Quantum transport on small-world networks: A continuous-time quantum walk approach

Details Quantum transport on small-world networks: A continuous-time quantum walk approach Quantum transport on small-world networks: A continuous-time quantum walk approach

2007-05-11

arxiv.org/abs/0705.1608v2

Phys. Rev. E 76, 051125 (2007)

Physics

Quantum Physics

8 pages, 8 figures (high quality figures available upon request)

Scientific paper

10.1103/PhysRevE.76.051125

We consider the quantum mechanical transport of (coherent) excitons on small-world networks (SWN). The SWN are build from a one-dimensional ring of N nodes by randomly introducing B additional bonds between them. The exciton dynamics is modeled by continuous-time quantum walks and we evaluate numerically the ensemble averaged transition probability to reach any node of the network from the initially excited one. For sufficiently large B we find that the quantum mechanical transport through the SWN is, first, very fast, given that the limiting value of the transition probability is reached very quickly; second, that the transport does not lead to equipartition, given that on average the exciton is most likely to be found at the initial node.

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