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arXiv · 1607.06477

Perturbation-Free Prediction of Resonance-Assisted Tunneling in Mixed Regular--Chaotic Systems

Normann Mertig·Julius Kullig·Clemens Löbner·Arnd Bäcker·Roland Ketzmerick
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Abstract

For generic Hamiltonian systems we derive predictions for dynamical tunneling from regular to chaotic phase-space regions. In contrast to previous approaches, we account for the resonance-assisted enhancement of regular-to-chaotic tunneling in a non-perturbative way. This provides the foundation for future semiclassical complex-path evaluations of resonance-assisted regular-to-chaotic tunneling. Our approach is based on a new class of integrable approximations which mimic the regular phase-space region and its dominant nonlinear resonance chain in a mixed regular--chaotic system. We illustrate the method for the standard map.

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Normann Mertig, Julius Kullig, Clemens Löbner, Arnd Bäcker, Roland Ketzmerick. 2016-07-21. Perturbation-Free Prediction of Resonance-Assisted Tunneling in Mixed Regular--Chaotic Systems. https://doi.org/10.1103/physreve.94.062220

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