[en] 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.
Disciplines :
Physics
Author, co-author :
Eltschka, C.
Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Language :
English
Title :
Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems
Publication date :
2005
Journal title :
Physical Review Letters
ISSN :
0031-9007
eISSN :
1079-7114
Publisher :
American Physical Society, Ridge, United States - New York
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