Perturbation-Free Prediction of Resonance-Assisted Tunneling in Mixed   Regular--Chaotic Systems
  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. 
Normann Mertig, Julius Kullig, Clemens L\"obner, Arnd B\"acker, and   Roland Ketzmerick
nlin.CD