Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization
Condensed Matter
2009-10-28 v1
Abstract
We study numerically the evolution of wavepackets in quasi one-dimensional random systems described by a tight-binding Hamiltonian with long-range random interactions. Results are presented for the scaling properties of the width of packets in three time regimes: ballistic, diffusive and localized. Particular attention is given to the fluctuations of packet widths in both the diffusive and localized regime. Scaling properties of the steady-state distribution are also analyzed and compared with theoretical expression borrowed from one-dimensional Anderson theory. Analogies and differences with the kicked rotator model and the one-dimensional localization are discussed.
Cite
@article{arxiv.cond-mat/9612018,
title = {Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization},
author = {F. M. Izrailev and T. Kottos and A. Politi and G. P. Tsironis},
journal= {arXiv preprint arXiv:cond-mat/9612018},
year = {2009}
}
Comments
32 pages, LaTex, 11 PostScript figures