2004/09/08 by Christopher Eltschka, Peter Schlagheck · 1 citation
Physics and Astronomy · #nlin.CD
paper · pdf · doi:10.1103/physrevlett.94.014101
4 pages, 2 figures
arxiv created 2004/09/08 · arxiv updated 2009/12/01
We present evidence that nonlinear resonances govern the tunneling process between symmetry-related islands of regular motion in mixed regular-chaotic systems.In a similar way as for near-integrable tunneling, such resonances induce couplings between regular states within the islands and states that are supported by the chaotic sea. On the basis of this mechanism, we derive a semiclassical expression for the average tunneling rate, which yields good agreement in comparison with the exact quantum tunneling rates calculated for the kicked rotor and the kicked Harper.