- Universality in the flooding of regular islands by chaotic states
- A. Bäcker, R. Ketzmerick, and A. Monastra
Phys. Rev. E 75, 066204 (2007), 11 pages
- We investigate the structure of eigenstates in
systems with a mixed phase space
in terms of their projection onto individual regular tori.
Depending on dynamical tunneling rates and the Heisenberg time,
regular states disappear and chaotic states flood the regular tori.
For a quantitative understanding
we introduce a random matrix model.
The resulting statistical properties of
eigenstates as a function of an effective coupling strength
are in very good agreement with numerical results for a kicked system.
We discuss the implications of these results for the applicability
of the semiclassical eigenfunction hypothesis.
- The preprint version of this article can be obtained via
Last modified: 22 June 2007, 10:59:43
Impressum, © Arnd Bäcker