Universality in quantum parametric correlations

Details Universality in quantum parametric correlations Universality in quantum parametric correlations

1999-05-03

arxiv.org/abs/cond-mat/9905015v2

Phys. Rev. E 60 (1999) 3969

Physics

Condensed Matter

LaTeX, 10 pages, 2 figures. Revised version, to appear in PRE

Scientific paper

10.1103/PhysRevE.60.3969

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.

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