Fractal Spectrum of a Quasi_periodically Driven Spin System

Preprint

27 January 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9501013

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

QUASI_PERIODICALLY DRIVEN
NUMERICALLY PERFORM
SPECTRAL ANALYSIS
FRACTAL SPECTRUM
SPIN SYSTEM
DRIVEN SPIN
ALGEBRAIC
SPECTRUM

All Related Versions

Version 1, 1995-01-27, ArXiv
Published version: Journal of Physics A: General Physics, 28 (10), 2717.

This publication has 0 references indexed in Scilit: