RT Journal Article T1 Misleading signatures of quantum chaos A1 Gómez Gómez, José María A1 Molina, R. A. A1 Relaño Pérez, Armando A1 Retamosa Granado, Joaquín AB 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. PB American Physical Society SN 1539-3755 YR 2002 FD 2002-09 LK https://hdl.handle.net/20.500.14352/59385 UL https://hdl.handle.net/20.500.14352/59385 LA eng NO [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). NO ©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. NO Spanish Government DS Docta Complutense RD 8 may 2024