Superscars in billiards: a model for doorway states in quantum spectra.
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.
Matematisk Fysik, LTH, Lunds Universitet, Box 118, 22100 Lund, Sweden.
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S
Aberg
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T
Guhr
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M
Miski-Oglu
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A
Richter