Quantum Chaos and Spectral Transitions in the Kicked Harper Model

  • Karsten Kruse
  • Roland Ketzmerick
  • Theo Geisel
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 547)


In contrast to bounded systems, quantum chaos in extended systems may be associated with fractal spectra, metal-insulator transitions due to avoided band crossings, and spreading wave packets. In this lecture we point out the role of avoided band crossings for spectral transitions in the example of the kicked Harper model. We explain the coexistence of localized and extended eigenfunctions off the critical line as well as changes of the fractal dimension on the critical line. Avoided band crossings thus provide a common cause for various phenomena observed numerically in the spectrum of the kicked Harper model.


Fractal Dimension Anderson Model Pure Point Spectral Transition Quantum Chaos 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Karsten Kruse
    • 1
  • Roland Ketzmerick
    • 1
  • Theo Geisel
    • 1
  1. 1.Max-Planck-Institut für Strömungsforschung und Fakultät Physik der Universität GöttingenGöttingenGermany

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