Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems

[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

Volume :

Issue :

Pages :

014101

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 05 November 2010

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