title: Transmission phase of a quantum dot and statistical fluctuations of partial-width amplitudes.
abstract: Experimentally, the phase of the amplitude for electron transmission through a quantum dot (transmission phase) shows the same pattern between consecutive resonances. Such universal behavior, found for long sequences of resonances, is caused by correlations of the signs of the partial-width amplitudes of the resonances. We investigate the stability of these correlations in terms of a statistical model. For a classically chaotic dot, the resonance eigenfunctions are assumed to be Gaussian distributed. Under this hypothesis, statistical fluctuations are found to reduce the tendency towards universal phase evolution. Long sequences of resonances with universal behavior only persist in the semiclassical limit of very large electron numbers in the dot and for specific energy intervals. Numerical calculations qualitatively agree with the statistical model but quantitatively are closer to universality.
authors.affiliation: Institut de Physique et Chimie des Matériaux de Strasbourg, Université de Strasbourg, CNRS UMR 7504, F-67034 Strasbourg, France.
authors.forename: Rodolfo A
authors.initials: RA
authors.lastname: Jalabert
authors.affiliation: Institut de Physique et Chimie des Matériaux de Strasbourg, Université de Strasbourg, CNRS UMR 7504, F-67034 Strasbourg, France.
authors.forename: Guillaume
authors.initials: G
authors.lastname: Weick
authors.affiliation: Max-Planck-Institut für Kernphysik, D-69029 Heidelberg, Germany.
authors.forename: Hans A
authors.initials: HA
authors.lastname: Weidenmüller
authors.affiliation: Institut de Physique et Chimie des Matériaux de Strasbourg, Université de Strasbourg, CNRS UMR 7504, F-67034 Strasbourg, France.
authors.forename: Dietmar
authors.initials: D
authors.lastname: Weinmann