Fractal Spectrum of a Quasi - Periodically Driven Spin System

نویسندگان

  • Italo Guarneri
  • Maria Di Meo
چکیده

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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تاریخ انتشار 1995