Misleading signatures of quantum chaos

J. M. G. Gómez, R. A. Molina, A. Relaño, J. Retamosa
2002 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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.
doi:10.1103/physreve.66.036209 pmid:12366226 fatcat:pq6v5v7sjbd6reood6jin3oska