Fractal Spectrum of a Quasi_periodically Driven Spin System
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
We numerically perform a spectral analysis of a quasi-periodically driven spin 1/2 system, the spectrum of which is Singular Continuous. We compute fractal dimensions of spectral measures and discuss their connections with the time behaviour of various dynamical quantities, such as the moments of the distribution of the wave packet. Our data suggest a close similarity between the information dimension of the spectrum and the exponent ruling the algebraic growth of the 'entropic width' of wavepackets.
Keywords
Cite
@article{arxiv.chao-dyn/9501013,
title = {Fractal Spectrum of a Quasi_periodically Driven Spin System},
author = {I. Guarneri and M. DiMeo},
journal= {arXiv preprint arXiv:chao-dyn/9501013},
year = {2009}
}
Comments
17 pages, RevTex, 5 figs. available on request from [email protected]