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Superscars in Billiards: A Model for Doorway States in Quantum Spectra

Aberg, Sven and Guhr, Thomas and Miski-Oglu, M. and Richter, A. (2008):
Superscars in Billiards: A Model for Doorway States in Quantum Spectra.
In: Phys. Rev. Lett., APS, p. 204101, 100, (20), [Online-Edition: http://link.aps.org/abstract/PRL/v100/e204101],
[Article]

Abstract

In a unifying way, the doorway mechanism explains spectral properties in a rich variety of open mesoscopic quantum systems, ranging from atoms to nuclei. A distinct state and a background of other states couple to each other which sensitively affects the strength function. The recently measured superscars in the barrier billiard provide an ideal model for an in-depth investigation of this mechanism. We introduce two new statistical observables: the full distribution of the maximum coupling coefficient to the doorway and directed spatial correlators. Using random matrix theory and random plane waves, we obtain a consistent understanding of the experimental data.

Item Type: Article
Erschienen: 2008
Creators: Aberg, Sven and Guhr, Thomas and Miski-Oglu, M. and Richter, A.
Title: Superscars in Billiards: A Model for Doorway States in Quantum Spectra
Language: English
Abstract:

In a unifying way, the doorway mechanism explains spectral properties in a rich variety of open mesoscopic quantum systems, ranging from atoms to nuclei. A distinct state and a background of other states couple to each other which sensitively affects the strength function. The recently measured superscars in the barrier billiard provide an ideal model for an in-depth investigation of this mechanism. We introduce two new statistical observables: the full distribution of the maximum coupling coefficient to the doorway and directed spatial correlators. Using random matrix theory and random plane waves, we obtain a consistent understanding of the experimental data.

Journal or Publication Title: Phys. Rev. Lett.
Volume: 100
Number: 20
Publisher: APS
Divisions: 05 Department of Physics
05 Department of Physics > Institute for condensed matter physics
Date Deposited: 20 Jan 2009 12:13
Official URL: http://link.aps.org/abstract/PRL/v100/e204101
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