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.
| Original language | English |
|---|---|
| Pages (from-to) | 4951-4963 |
| Number of pages | 13 |
| Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 55 |
| Issue number | 5 |
| Publication status | Published - May 1997 |
Keywords
- QUANTUM CHAOS
- SCALING PROPERTIES
- ANDERSON LOCALIZATION
- DYNAMIC LOCALIZATION
- SPECTRAL PROPERTIES
- COMPLEX SPECTRA
- SYSTEMS
- EIGENFUNCTIONS
- BEHAVIOR
- MATRICES