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Updated: Aug 19, 2026

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
Published on: April 28, 2016
Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems
Christopher Eltschka1, Peter Schlagheck
1Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany.
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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