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Misleading signatures of quantum chaos

Chaotic Dynamics 2016-09-08 v1

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 Δ3(L)\Delta_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 Δ3(L)\Delta_3(L) relationship with the regular or chaotic motion of the system. This effect can also be misinterpreted as Berry's saturation.

Keywords

Cite

@article{arxiv.nlin/0112014,
  title  = {Misleading signatures of quantum chaos},
  author = {J. M. G. Gomez and R. A. Molina and A. Relano and J. Retamosa},
  journal= {arXiv preprint arXiv:nlin/0112014},
  year   = {2016}
}

Comments

4 pages, 5 figures, submitted to Physical Review E