Eltschka, Christopher and Schlagheck, Peter (2005) Resonance- and Chaos-Assisted Tunneling in Mixed Regular-Chaotic Systems. Physical Review Letters 94, 014101.
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Other URL: http://link.aps.org/abstract/PRL/v94/e014101
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.
|Institutions:||Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter|
|Subjects:||500 Science > 530 Physics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited On:||20 Mar 2007|
|Last Modified:||20 Jul 2011 20:58|