4.8 Article

Superscars in billiards:: A model for doorway states in quantum spectra

Journal

PHYSICAL REVIEW LETTERS
Volume 100, Issue 20, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.100.204101

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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.

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