Improved unfolding by detrending of statistical fluctuations in quantum spectra

Irving O. Morales, E. Landa, P. Stránský, and A. Frank
Phys. Rev. E 84, 016203 – Published 6 July 2011

Abstract

A fundamental relation exists between the statistical properties of the fluctuations of the energy-level spectrum of a Hamiltonian and the chaotic properties of the physical system it describes. This relationship has been addressed previously as a signature of chaos in quantum dynamical systems. In order to properly analyze these fluctuations, however, it is necessary to separate them from the general tendency, namely, its secular part. Unfortunately this process, called unfolding, is not trivial and can lead to erroneous conclusions about the chaoticity of a system. In this paper we propose a technique to improve the unfolding procedure for the purpose of minimizing the dependence on the particular procedure. This technique is based on detrending the fluctuations of the unfolded spectra through the empirical mode decomposition method.

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  • Received 5 May 2011

DOI:https://doi.org/10.1103/PhysRevE.84.016203

©2011 American Physical Society

Authors & Affiliations

Irving O. Morales1, E. Landa2, P. Stránský2,3, and A. Frank2

  • 1Grand Accélérateur National d’Ions Lourds, GANIL, CEA/DSM — CNRS/IN2P3, Bd. Henri Becquerel, BP 55027, F-14076, Caen Cedex 5, France
  • 2Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 México, D.F., Mexico
  • 3Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, CZ-180 00 Prague, Czech Republic

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Vol. 84, Iss. 1 — July 2011

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