Time evolution of wave-packets in quasi-1D disordered media
Anno: 2000
Autori: Politi A., Ruffo S., Tessieri L.
Affiliazione autori: Istituto Nazionale di Ottica , Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto Nazionale di Fisica della Materia, Firenze, Italy;
Dipartimento di Energetica “S. Stecco”, Università di Firenze, Via S. Marta 3, 50139 Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Firenze, Italy;
Instituto de Fisica, Universidad Autonoma de Puebla, Apdo. Postal J-48, Puebla, Pue. 72570, Mexico
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).
Giornale/Rivista: EUROPEAN PHYSICAL JOURNAL B
Volume: 14 (4) Da Pagina: 673 A: 679
Parole chiavi: Band Random Matrices; Scaling Properties; Quantum Chaos; Localization; DiffusionDOI: 10.1007/s100510051078Citazioni: 6dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui
