Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization

F M Izrailev, T Kottos, A Politi, G P Tsironis

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36 Citations (Scopus)

Abstract

We study numerically the evolution of wave packets 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 a theoretical expression borrowed from the one-dimensional Anderson theory. Analogies and differences with the kicked rotator model and the one-dimensional localization are discussed.

Original languageEnglish
Pages (from-to)4951-4963
Number of pages13
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number5
Publication statusPublished - May 1997

Keywords

  • QUANTUM CHAOS
  • SCALING PROPERTIES
  • ANDERSON LOCALIZATION
  • DYNAMIC LOCALIZATION
  • SPECTRAL PROPERTIES
  • COMPLEX SPECTRA
  • SYSTEMS
  • EIGENFUNCTIONS
  • BEHAVIOR
  • MATRICES

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