2009/06/30 by Steffen Löck, Arnd Bäcker, Roland Ketzmerick +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physrevlett.104.114101
published as Phys. Rev. Lett. 104, 114101 (2010) · 4 pages, 3 figures, reference added, small text changes
openalex publication_date 2010/03/16 · arxiv created 2010/03/17 · arxiv updated 2010/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive a prediction of dynamical tunneling rates from regular to chaotic phase-space regions combining the direct regular-to-chaotic tunneling mechanism in the quantum regime with an improved resonance-assisted tunneling theory in the semiclassical regime. We give a qualitative recipe for identifying the relevance of nonlinear resonances in a given variant Planck's over 2pi regime. For systems with one or multiple dominant resonances we find excellent agreement to numerics.