Signatures of homoclinic motion in quantum chaos
Chaotic Dynamics
2009-11-10 v2 Quantum Physics
Abstract
Homoclinic motion plays a key role in the organization of classical chaos in Hamiltonian systems. In this Letter, we show that it also imprints a clear signature in the corresponding quantum spectra. By numerically studying the fluctuations of the widths of wavefunctions localized along periodic orbits we reveal the existence of an oscillatory behavior, that is explained solely in terms of the primary homoclinic motion. Furthermore, our results indicate that it survives the semiclassical limit.
Keywords
Cite
@article{arxiv.nlin/0402022,
title = {Signatures of homoclinic motion in quantum chaos},
author = {D. A. Wisniacki and E. Vergini and R. M. Benito and F. Borondo},
journal= {arXiv preprint arXiv:nlin/0402022},
year = {2009}
}
Comments
5 pages, 4 figures