Quantum and classical diffusion on small-world networks

  title={Quantum and classical diffusion on small-world networks},
  author={Beom Jun Kim and Hyunsuk Hong and M.Y. Choi},
  journal={Physical Review B},
We study numerically quantum diffusion of a particle on small-world networks by integrating the time-dependent Schrodinger equation with a localized initial state. The participation ratio, which corresponds to the number of visited sites in the case of classical diffusion, as a function of time is measured and the corresponding diffusion time, τ is computed. In a local regular network, i.e., in the network with the rewiring probability p=0, the diffusion time depends on the network size N as… 

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