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

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. {copyright} {ital 1997} {ital The American Physical Society}

Authors:
; ;  [1]
  1. Istituto Nazionale di Ottica, 50125 Firenze (Italy)
Publication Date:
OSTI Identifier:
656936
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 55; Journal Issue: 5; Other Information: PBD: May 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; WAVE PACKETS; WAVE PROPAGATION; ROTATIONAL STATES; QUANTUM MECHANICS; ENERGY LEVELS; SCALING LAWS; LOCALITY; DIFFUSION; FLUCTUATIONS; ROTATION

Citation Formats

Izrailev, F.M.,, Izrailev, F M, Kottos, T, Tsironis, G.P.,, Politi, A, and INFN, Firenze. Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization. United States: N. p., 1997. Web. doi:10.1103/PhysRevE.55.4951.
Izrailev, F.M.,, Izrailev, F M, Kottos, T, Tsironis, G.P.,, Politi, A, & INFN, Firenze. Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization. United States. https://doi.org/10.1103/PhysRevE.55.4951
Izrailev, F.M.,, Izrailev, F M, Kottos, T, Tsironis, G.P.,, Politi, A, and INFN, Firenze. 1997. "Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization". United States. https://doi.org/10.1103/PhysRevE.55.4951.
@article{osti_656936,
title = {Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization},
author = {Izrailev, F.M., and Izrailev, F M and Kottos, T and Tsironis, G.P., and Politi, A and INFN, Firenze},
abstractNote = {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. {copyright} {ital 1997} {ital The American Physical Society}},
doi = {10.1103/PhysRevE.55.4951},
url = {https://www.osti.gov/biblio/656936}, journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 5,
volume = 55,
place = {United States},
year = {Thu May 01 00:00:00 EDT 1997},
month = {Thu May 01 00:00:00 EDT 1997}
}