Fractal Spectrum of a Quasi_periodically Driven Spin System

Details Fractal Spectrum of a Quasi_periodically Driven Spin System Fractal Spectrum of a Quasi_periodically Driven Spin System

1995-01-27

arxiv.org/abs/chao-dyn/9501013v1

Nonlinear Sciences

Chaotic Dynamics

17 pages, RevTex, 5 figs. available on request from maria@mvcomo.fis.unico.it

Scientific paper

10.1088/0305-4470/28/10/005

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.

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