Regular Tunnelling Sequences in Mixed Systems
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We show that the pattern of tunnelling rates can display a vivid and regular pattern when the classical dynamics is of mixed chaotic/regular type. We consider the situation in which the dominant tunnelling route connects to a stable periodic orbit and this orbit is surrounded by a regular island which supports a number of quantum states. We derive an explicit semiclassical expression for the positions and tunnelling rates of these states by use of a complexified trace formula.
Cite
@article{arxiv.chao-dyn/9910021,
title = {Regular Tunnelling Sequences in Mixed Systems},
author = {Stephen C. Creagh and Niall D. Whelan},
journal= {arXiv preprint arXiv:chao-dyn/9910021},
year = {2009}
}
Comments
submitted to Physica E as a contribution to the workshop proceedings of "Dynamics of Complex Systems" held at the Max Planck Institute for the Physics of Complex Systems in Dresden from March 30 to June 15, 1999