Homoclinic Structure Controls Chaotic Tunnelling
chao-dyn
2009-10-31 v2 Chaotic Dynamics
Abstract
Tunnelling from a chaotic potential well is explained in terms of a set of complex periodic orbits which contain information about the real dynamics inside the well as well as the complex dynamics under the confining barrier. These orbits are associated with trajectories which are homoclinic to a real trajectory emerging from the optimal tunnelling path. The theory is verified by considering a model double-well problem.
Keywords
Cite
@article{arxiv.chao-dyn/9810027,
title = {Homoclinic Structure Controls Chaotic Tunnelling},
author = {Stephen C. Creagh and Niall D. Whelan},
journal= {arXiv preprint arXiv:chao-dyn/9810027},
year = {2009}
}
Comments
Clarified discussion. To appear in PRL