Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems |
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Authors: | Eltschka Christopher Schlagheck Peter |
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Affiliation: | Institut für Theoretische Physik, Universit?t Regensburg, 93040 Regensburg, Germany. |
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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. |
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