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

Year: 1997

Authors: Izrailev FM., Kottos T., Politi A., Tsironis GP.

Autors Affiliation: Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia;
Department of Physics, University of Crete, P.O. Box 2208, 71003 Heraklion-Crete, Greece;
Research Center of Crete, P.O. Box 2208, 71003 Heraklion-Crete, Greece;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy
Istituto Nazionale di Fisica Nucleare, Firenze, Italy

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.

Journal/Review: PHYSICAL REVIEW E

Volume: 55 (5)      Pages from: 4951  to: 4963

KeyWords: Quantum Chaos; Scaling Properties; Anderson Localization; Dynamic Localization; Spectral Properties; Complex Spectra; Systems; Eigenfunctions; Behavior; Matrices
DOI: 10.1103/PhysRevE.55.4951

Citations: 34
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