Misleading signatures of quantum chaos

Details Misleading signatures of quantum chaos Misleading signatures of quantum chaos

2001-12-10

arxiv.org/abs/nlin/0112014v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures, submitted to Physical Review E

Scientific paper

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 and the spectral rigidity given by $\Delta_3(L)$. 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 $\Delta_3(L)$ relationship with the regular or chaotic motion of the system. This effect can also be misinterpreted as Berry's saturation.

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