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Misleading signatures of quantum chaos

J. M. G. Gomez·R. A. Molina·A. Relano·J. Retamosa
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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 and the spectral rigidity given by $Δ_3(L)$. 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 $Δ_3(L)$ relationship with the regular or chaotic motion of the system. This effect can also be misinterpreted as Berry's saturation.

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J. M. G. Gomez, R. A. Molina, A. Relano, J. Retamosa. 2001-12-10. Misleading signatures of quantum chaos. https://doi.org/10.1103/physreve.66.036209

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