Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
We present numerical evidence to show that the wavefunctions of smooth classically chaotic Hamiltonian systems scarred by certain simple periodic orbits are exponentially localized in the space of unperturbed basis states. The degree of localization, as measured by the information entropy, is shown to be correlated with the local phase space structure around the scarring orbit; indicating sharp localization when the orbit undergoes a pitchfork bifurcation and loses stability.
Keywords
Cite
@article{arxiv.chao-dyn/9704002,
title = {Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems},
author = {M. S. Santhanam and V. B. Sheorey and A. Lakshminarayan},
journal= {arXiv preprint arXiv:chao-dyn/9704002},
year = {2009}
}
Comments
7pages including 7 figures. Submitted to PRL