Resonance-Assisted Tunneling

@article{Brodier2002ResonanceAssistedT,
  title={Resonance-Assisted Tunneling},
  author={O Brodier and Peter Schlagheck and Denis Ullmo},
  journal={Annals of Physics},
  year={2002},
  volume={300},
  pages={88-136}
}
We present evidence that tunneling processes in near-integrable systems are enhanced due to the manifestation of nonlinear resonances and their respective island chains in phase space. A semiclassical description of this \"resonance-assisted\" mechanism is given, which is based on a local perturbative description of the dynamics in the vicinity of the resonances. As underlying picture, we obtain that the quantum state is coupled, via a succession of classically forbidden transitions across… 

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