Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems
Chaotic Dynamics
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0409016,
title = {Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems},
author = {Christopher Eltschka and Peter Schlagheck},
journal= {arXiv preprint arXiv:nlin/0409016},
year = {2009}
}
Comments
4 pages, 2 figures