Publication: Misleading signatures of quantum chaos
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2002-09
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American Physical Society
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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 P(s) and the spectral rigidity given by the Delta(3)(L) statistic. It is shown that some standard unfolding procedures, such as local unfolding and Gaussian broadening, lead to a spurious saturation of Delta(3)(L) that spoils the relationship of this statistic with the regular or chaotic motion of the system. This effect can also be misinterpreted as Berry's saturation.
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©2002 The American Physical Society. We want to acknowledge useful discussions with D. Weinmann. This work was supported in part by Spanish Government grants for Research Project Nos. BFM2000-0600 and FTN2000-0963-C02.
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[1] M.V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 356, 375 (1977).
[2] O. Bohigas, M.J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).
[3] O. Bohigas and M.J. Giannoni, in Mathematical and Computational Methods in Nuclear Physics, edited by J.S. Dehesa, J.M.G. Gómez, and A. Polls (Springer Verlag, Berlin, 1984).
[4] H.J. Stöckmann, Quantum Chaos (Cambridge University Press, Cambridge, England, 1999).
[5] T.A. Brody, J. Flores, J.B. French, P.A. Mello, A. Pandey, and S.S.M. Wong, Rev. Mod. Phys. 53, 385 (1981).
[6] T. Guhr, A. Müller-Groeling, and H.A. Weidenmüller, Phys. Rep. 299, 189 (1998).
[7] M.V. Berry, Proc. R. Soc. London, Ser. A 400, 229 (1985).
[8] F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Heidelberg, 2001).
[9] J.B. French and S.S.M. Wong, Phys. Lett. 35B, 5 (1971).
[10] V. Paar, D. Vorkapic, K. Heyde, A.G.M. van Hees, and A.A. Wolters, Phys. Lett. B 271, 1 (1991).
[11] M.S. Bae, T. Otsuka, T. Mizusaki, and N. Fukunishi, Phys. Rev. Lett. 69, 2349 (1992).
[12] H. Meyer, J.C. Angles d’Auriac, and J.M. Maillard, Phys. Rev. E 55, 5380 (1997).
[13] H. Bruus and C.A. d’Auriac, Phys. Rev. B 55, 9142 (1997).
[14] R.A. Molina, J.M.G. Gómez, and J. Retamosa, Phys. Rev. C 63, 014311 (2001).
[15] J.M.G. Gómez, K. Kar, V.K.B. Kota, J. Retamosa, and R. Sahu, Phys. Rev. C 64, 034305 (2001).