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

Details Superscars in billiards -- A model for doorway states in quantum spectra Superscars in billiards -- A model for doorway states in quantum spectra

2008-05-15

arxiv.org/abs/0805.2345v1

Nonlinear Sciences

Chaotic Dynamics

4 Pages, 4 figures

Scientific paper

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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