Quantum chaos and 1/f noise
| dc.contributor.author | Relaño Pérez, Armando | |
| dc.contributor.author | Gómez Gómez, José María | |
| dc.contributor.author | Molina, R. A. | |
| dc.contributor.author | Retamosa Granado, Joaquín | |
| dc.contributor.author | Faleiro, E. | |
| dc.date.accessioned | 2023-06-20T19:12:07Z | |
| dc.date.available | 2023-06-20T19:12:07Z | |
| dc.date.issued | 2002-12-09 | |
| dc.description | ©2002 The American Physical Society. This work is supported in part by Spanish Government Grants No. BFM2000-0600 and No. 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/27805 | |
| dc.identifier.doi | 10.1103/PhysRevLett.89.244102 | |
| dc.identifier.issn | 0031-9007 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevLett.89.244102 | |
| dc.identifier.relatedurl | http://journals.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59384 | |
| dc.issue.number | 24 | |
| dc.journal.title | Physical review letters | |
| 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 | Spectrum | |
| dc.subject.ucm | Termodinámica | |
| dc.subject.unesco | 2213 Termodinámica | |
| dc.title | Quantum chaos and 1/f noise | |
| dc.type | journal article | |
| dc.volume.number | 89 | |
| dcterms.references | [1] M.V. Berry and M. Tabor, Proc. R. Soc. London A 356, 375 (1977). [2] O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984). [3] T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998). [4] H. J. Stöckmann, Quantum Chaos (Cambridge University Press, Cambridge, England, 1999). [5] J.M.Gómez, R. A. Molina, A. Relaño, and J. Retamosa, Phys. Rev. E 66, 036209 (2002). [6] M. L. Mehta, Random Matrices (Academic, New York, 1991). [7] O. Bohigas, P. Leboeuf, and M. J. Sánchez, Physica (Amsterdam) 131D, 186 (1999). [8] N. P. Greis and H. S. Greenside, Phys. Rev. A 44, 2324 (1991). [9] A. Relaño, J.M.G. Gómez, and E. Faleiro (to be published). [10] H.G. Schuster, Deterministic Chaos: An Introduction (VCH, New York, 1995). [11] B. B. Mandelbrot, Multifractals and 1/f Noise (Springer, New York, 1999). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 53fed635-944b-485a-b13a-ea8f9355b7aa | |
| relation.isAuthorOfPublication | 41cdbde8-9afc-4edf-aa3c-1430d8ad268e | |
| relation.isAuthorOfPublication | 1d1118d9-569f-4139-988b-921ac5a8407c | |
| relation.isAuthorOfPublication.latestForDiscovery | 53fed635-944b-485a-b13a-ea8f9355b7aa |
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