2001/04/30 by Olivier Brodier, Peter Schlagheck, Denis Ullmo · 1 citation
Physics and Astronomy · #nlin.CD
paper · pdf · doi:10.1103/physrevlett.87.064101
published as Phys. Rev. Lett. 87, 064101 (2001) · 4 pages, 2 figures, gzipped tar file, to appear in Phys. Rev. Lett, text slightly condensed compared to first version
arxiv created 2001/06/27 · arxiv updated 2009/11/30
Dynamical tunneling between symmetry related invariant tori is studied in the near-integrable regime. Using the kicked Harper model as an illustration, we show that the exponential decay of the wave functions in the classically forbidden region is modified due to coupling processes that are mediated by classical resonances. This mechanism leads to a substantial deviation of the splitting between quasi-degenerate eigenvalues from the purely exponential decrease with 1 / hbar obtained for the integrable system. A simple semiclassical framework, which takes into account the effect of the resonance substructure on the KAM tori, allows to quantitatively reproduce the behavior of the eigenvalue splittings.