Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization

Details Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization

1996-12-02

arxiv.org/abs/cond-mat/9612018v1

Phys Rev. E. 55 (1997) 4951.

Physics

Condensed Matter

32 pages, LaTex, 11 PostScript figures

Scientific paper

10.1103/PhysRevE.55.4951

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.

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