title: Beyond nearest-neighbor spacing distributions: A new indicator for core-induced chaos
abstract: We present a method for the statistical analysis of quantum spectra which goes beyond the standard nearest-neighbor spacing distribution. The method exploits a peculiar correlation of oscillator strength and level spacing distributions. For diamagnetic Rydberg spectra we demonstrate that core-induced chaos and generic chaos can be distinguished in an experimentally accessible regime far below the semiclassical limit and with already a few hundred lines per spectrum. We present two hypotheses for a generalization of our findings.
authors.affiliation: Department of Physics, University of California, Berkeley, California 94720, USA.
authors.initials: H
authors.lastname: Held
authors.initials: W
authors.lastname: Schweizer