Time evolution of wave-packets in quasi-1D disordered media

A Politi, S Ruffo, L Tessieri

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We have investigated numerically the quantum evolution of a delta-like wave-packet in a quenched disordered medium described by a tight-binding Hamiltonian with long-range hopping (band random matrix approach). We have obtained clean data for the scaling properties in time ana in the bandwidth b of the packet width (M) over bar and its fluctuations Delta((M) over bar) with respect to disorder realizations. We confirm that the fluctuations of the packet width in the steady-state show an anomalous scaling Delta((M) over bar)/(M) over bar similar to b(-delta) with delta = 0.75 +/- 0.03. This can be related to the presence of non-Gaussian tails in the distribution of (M) over bar. Finally, we have analysed the steady state probability profile and we have found 1/b corrections with respect to the theoretical formula derived by Zhirov in the b --> infinity limit, except at the origin, where the corrections are O(1/root b).

Original languageEnglish
Pages (from-to)673-679
Number of pages7
JournalThe European Physical Journal B - Condensed Matter and Complex Systems
Volume14
Issue number4
Publication statusPublished - Apr 2000

Keywords

  • BAND RANDOM MATRICES
  • SCALING PROPERTIES
  • QUANTUM CHAOS
  • LOCALIZATION
  • DIFFUSION

Cite this

Time evolution of wave-packets in quasi-1D disordered media. / Politi, A ; Ruffo, S ; Tessieri, L .

In: The European Physical Journal B - Condensed Matter and Complex Systems , Vol. 14, No. 4, 04.2000, p. 673-679.

Research output: Contribution to journalArticle

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AB - We have investigated numerically the quantum evolution of a delta-like wave-packet in a quenched disordered medium described by a tight-binding Hamiltonian with long-range hopping (band random matrix approach). We have obtained clean data for the scaling properties in time ana in the bandwidth b of the packet width (M) over bar and its fluctuations Delta((M) over bar) with respect to disorder realizations. We confirm that the fluctuations of the packet width in the steady-state show an anomalous scaling Delta((M) over bar)/(M) over bar similar to b(-delta) with delta = 0.75 +/- 0.03. This can be related to the presence of non-Gaussian tails in the distribution of (M) over bar. Finally, we have analysed the steady state probability profile and we have found 1/b corrections with respect to the theoretical formula derived by Zhirov in the b --> infinity limit, except at the origin, where the corrections are O(1/root b).

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