Fractal spectrum of a quasi-periodically driven spin system
- 21 May 1995
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (10) , 2717-2728
- https://doi.org/10.1088/0305-4470/28/10/005
Abstract
We perform a numerical 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 wavepacket. 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
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