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