Chaos and symmetry in the interacting boson model

The level spectra of the interacting boson model for the whole range of parameters which span over three dynamical symmetries are analyzed in terms of the nearest-neighbour level-spacing distribution, and the “quantum chaos map” is charted. Strongly chaotic level spectra are seen in between SU(3) an...

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Bibliographic Details
Published in:Physics letters. B 1991-10, Vol.269 (1), p.6-12
Main Authors: Mizusaki, Takahiro, Yoshinaga, Naotaka, Shigehara, Takaomi, Cheon, Taksu
Format: Article
Language:English
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Summary:The level spectra of the interacting boson model for the whole range of parameters which span over three dynamical symmetries are analyzed in terms of the nearest-neighbour level-spacing distribution, and the “quantum chaos map” is charted. Strongly chaotic level spectra are seen in between SU(3) and O(6) symmetries. Unexpected persistence of Poisson statistics is found along the line connecting U(5) and O(6) symmetries. We argue that this is to be identified with the Berry-Robnik distribution with high division number arising from the preserved O(5) subsymmetry.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(91)91442-X