The twilight zone in the parametric evolution of eigenstates: beyond perturbation theory and semiclassics
Mesoscale and Nanoscale Physics
2009-11-10 v2
Abstract
Considering a quantized chaotic system, we analyze the evolution of its eigenstates as a result of varying a control parameter. As the induced perturbation becomes larger, there is a crossover from a perturbative to a non-perturbative regime, which is reflected in the structural changes of the local density of states. For the first time the {\em full} scenario is explored for a physical system: an Aharonov-Bohm cylindrical billiard. As we vary the magnetic flux, we discover an intermediate twilight regime where perturbative and semiclassical features co-exist. This is in contrast with the {\em simple} crossover from a Lorentzian to a semicircle line-shape which is found in random-matrix models.
Keywords
Cite
@article{arxiv.cond-mat/0408240,
title = {The twilight zone in the parametric evolution of eigenstates: beyond perturbation theory and semiclassics},
author = {J. A. Mendez-Bermudez and Tsampikos Kottos and Doron Cohen},
journal= {arXiv preprint arXiv:cond-mat/0408240},
year = {2009}
}
Comments
4 pages, 4 figures, improved version