Complex-Path Prediction of Resonance-Assisted Tunneling in Mixed Systems
arXiv:1609.09276 · doi:10.1103/PhysRevE.95.020202
Abstract
We present a semiclassical prediction of regular-to-chaotic tunneling in systems with a mixed phase space, including the effect of a nonlinear resonance chain. We identify complex paths for direct and resonance-assisted tunneling in the phase space of an integrable approximation with one nonlinear resonance chain. We evaluate the resonance-assisted contribution analytically and give a prediction based on just a few properties of the classical phase space. For the standard map excellent agreement with numerically determined tunneling rates is observed. The results should similarly apply to ionization rates and quality factors.
6 pages, 2 figures
References in corpus (13)
- Mayavi: a package for 3D visualization of scientific data
- Chaos-assisted directional light emission from microcavity lasers
- Dynamical tunneling in mushroom billiards
- Regular-to-chaotic tunneling rates using a fictitious integrable system
- Quality factors and dynamical tunneling in annular microcavities
- Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
- On dynamical tunneling and classical resonances
- Chaos-assisted emission from asymmetric resonant cavity microlasers
- Perturbation-Free Prediction of Resonance-Assisted Tunneling in Mixed Regular--Chaotic Systems
- Resonance-assisted decay of nondispersive wave packets
- Origin of the enhancement of tunneling probability in the nearly integrable system
- Integrable approximation of regular regions with a nonlinear resonance chain
- Resonance-assisted tunneling in mixed regular-chaotic systems