Regular-to-chaotic tunneling rates using a fictitious integrable system
Chaotic Dynamics
2008-03-18 v2 Quantum Physics
Abstract
We derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space. Our approach is based on the introduction of a fictitious integrable system that resembles the regular dynamics within the island. For the standard map and other kicked systems we find agreement with numerical results for all regular states in a regime where resonance-assisted tunneling is not relevant.
Cite
@article{arxiv.0707.0217,
title = {Regular-to-chaotic tunneling rates using a fictitious integrable system},
author = {A. Bäcker and R. Ketzmerick and S. Löck and L. Schilling},
journal= {arXiv preprint arXiv:0707.0217},
year = {2008}
}
Comments
4 pages, 4 figures