https://doi.org/10.1007/s100510051078
Time evolution of wave-packets in quasi-1D disordered media
1
Istituto Nazionale di Ottica 50125 Firenze, Italy and INFM-Firenze
2
Dipartimento di Energetica "S. Stecco",
Università di Firenze, via s. Marta 3 50139 Firenze, Italy, INFN and INFM
3
Instituto de Física, Universidad Autónoma de Puebla,
Apdo. Postal J-48, Puebla, Pue. 72570, Mexico
Received:
6
August
1999
Revised:
22
October
1999
Published online: 15 April 2000
We have investigated numerically the quantum evolution of a δ-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
and in the bandwidth b of the packet width and its
fluctuations
with respect to disorder realizations.
We confirm that the fluctuations of the packet width in the steady-state
show an anomalous scaling
with
.
This can be related to the presence of
non-Gaussian tails in the distribution of
.
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
limit, except at the origin, where the
corrections are
.
PACS: 05.45.Mt – Semiclassical chaos ("quantum chaos") / 71.23.An – Theories and models; localized states / 72.15.Rn – Localization effects (Anderson or weak localization)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000