Quantum chaos and 1/f noise
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2002
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American Physical Society
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Abstract
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.
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©2002 The American Physical Society. This work is supported in part by Spanish Government Grants No. BFM2000-0600 and No. FTN2000-0963-C02.