Misleading signatures of quantum chaos
| dc.contributor.author | Gómez Gómez, José María | |
| dc.contributor.author | Molina, R. A. | |
| dc.contributor.author | Relaño Pérez, Armando | |
| dc.contributor.author | Retamosa Granado, Joaquín | |
| dc.date.accessioned | 2023-06-20T19:12:10Z | |
| dc.date.available | 2023-06-20T19:12:10Z | |
| dc.date.issued | 2002-09 | |
| dc.description | ©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. | |
| dc.description.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. | |
| dc.description.department | Depto. de Estructura de la Materia, Física Térmica y Electrónica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Spanish Government | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/27806 | |
| dc.identifier.doi | 10.1103/PhysRevE.66.036209 | |
| dc.identifier.issn | 1539-3755 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevE.66.036209 | |
| dc.identifier.relatedurl | http://journals.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59385 | |
| dc.issue.number | 3 | |
| dc.journal.title | Physical Review E | |
| dc.language.iso | eng | |
| dc.publisher | American Physical Society | |
| dc.relation.projectID | BFM2000-0600 | |
| dc.relation.projectID | FTN2000-0963-C02 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 536 | |
| dc.subject.keyword | Shell-model | |
| dc.subject.keyword | Transition | |
| dc.subject.keyword | Spectrum | |
| dc.subject.keyword | Energy | |
| dc.subject.ucm | Termodinámica | |
| dc.subject.unesco | 2213 Termodinámica | |
| dc.title | Misleading signatures of quantum chaos | |
| dc.type | journal article | |
| dc.volume.number | 66 | |
| dcterms.references | [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). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 41cdbde8-9afc-4edf-aa3c-1430d8ad268e | |
| relation.isAuthorOfPublication | 53fed635-944b-485a-b13a-ea8f9355b7aa | |
| relation.isAuthorOfPublication | 1d1118d9-569f-4139-988b-921ac5a8407c | |
| relation.isAuthorOfPublication.latestForDiscovery | 41cdbde8-9afc-4edf-aa3c-1430d8ad268e |
Download
Original bundle
1 - 1 of 1
