Universality in quantum parametric correlations
凝聚态物理
2010-03-09 v2 chao-dyn
混沌动力学
摘要
We investigate the universality of correlation functions of chaotic and disordered quantum systems as an external parameter is varied. A new, general scaling procedure is introduced which makes the theory invariant under reparametrizations. Under certain general conditions we show that this procedure is unique. The approach is illustrated with the particular case of the distribution of eigenvalue curvatures. We also derive a semiclassical formula for the non-universal scaling factor, and give an explicit expression valid for arbitrary deformations of a billiard system.
引用
@article{arxiv.cond-mat/9905015,
title = {Universality in quantum parametric correlations},
author = {P. Leboeuf and M. Sieber},
journal= {arXiv preprint arXiv:cond-mat/9905015},
year = {2010}
}
备注
LaTeX, 10 pages, 2 figures. Revised version, to appear in PRE