Phys. Rev. Lett. 94, 014101 (2005) [4 pages]Resonance- and Chaos-Assisted Tunneling in Mixed Regular-Chaotic SystemsReceived 9 September 2004; published 6 January 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.014101
DOI:
10.1103/PhysRevLett.94.014101
PACS:
05.45.Mt, 03.65.Sq, 03.65.Xp
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.