Abstract:
We have investigated numerically the quantum evolution of a-like wave-packet in a quenched disordered medium described by a tight-binding Hamiltonian with long-range hopping (band random matrix approach). We have obtained clean data for the scaling properties in time and in the bandwidth b of the packet width and its fluctuations with respect to disorder realizations. We confirm that the fluctuations of the packet width in the steady-state show an anomalous scaling [0pt] with [0pt]. This can be related to the presence of non-Gaussian tails in the distribution of [0pt]. Finally, we have analysed the steady state probability profile and we have found 1/b corrections with respect to the theoretical formula derived by Zhirov in the limit, except at the origin, where the corrections are.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 6 August 1999 and Received in final form 22 October 1999
Rights and permissions
About this article
Cite this article
Politi, A., Ruffo, S. & Tessieri, L. Time evolution of wave-packets in quasi-1D disordered media. Eur. Phys. J. B 14, 673–679 (2000). https://doi.org/10.1007/s100510051078
Published:
Issue Date:
DOI: https://doi.org/10.1007/s100510051078