Misleading signatures of quantum chaos



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Gómez Gómez, José María and Molina, R. A. and Relaño Pérez, Armando and Retamosa Granado, Joaquín (2002) Misleading signatures of quantum chaos. Physical Review E, 66 (3). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.66.036209


The main signature of chaos in a quantum system is provided by spectral statistical analysis of the nearest-neighbor spacing distribution P(s) and the spectral rigidity given by the Delta(3)(L) statistic. It is shown that some standard unfolding procedures, such as local unfolding and Gaussian broadening, lead to a spurious saturation of Delta(3)(L) that spoils the relationship of this statistic with the regular or chaotic motion of the system. This effect can also be misinterpreted as Berry's saturation.

Item Type:Article
Additional Information:

©2002 The American Physical Society. We want to acknowledge useful discussions with D. Weinmann. This work was supported in part by Spanish Government grants for Research Project Nos. BFM2000-0600 and FTN2000-0963-C02.

Uncontrolled Keywords:Shell-model; Transition; Spectrum; Energy
Subjects:Sciences > Physics > Thermodynamics
ID Code:27806
Deposited On:19 Dec 2014 10:24
Last Modified:27 Feb 2015 09:27

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