Theoretical derivation of 1/ƒ noise in quantum chaos
| dc.contributor.author | Relaño Pérez, Armando | |
| dc.contributor.author | Faleiro, E. | |
| dc.contributor.author | Gómez Gómez, José María | |
| dc.contributor.author | Molina, R. A. | |
| dc.contributor.author | Muñoz Muñoz, Laura | |
| dc.contributor.author | Retamosa Granado, Joaquín | |
| dc.date.accessioned | 2023-06-20T10:49:19Z | |
| dc.date.available | 2023-06-20T10:49:19Z | |
| dc.date.issued | 2004-12-10 | |
| dc.description | ©2004 The American Physical Society. We are particularly indebted to P. Leboeuf, O. Bohigas, and M. Robnik for enlightening discussions. This work is supported in part by Spanish Government Grants No. BFM2003-04147-C02 and No. FTN2003-08337-C04-04. | |
| dc.description.abstract | It was recently conjectured that 1/ƒ noise is a fundamental characteristic of spectral fluctuations in chaotic quantum systems. This conjecture is based on the power spectrum behavior of the excitation energy fluctuations, which is different for chaotic and integrable systems. Using random matrix theory, we derive theoretical expressions that explain without free parameters the universal behavior of the excitation energy fluctuations power spectrum. The theory gives excellent agreement with numerical calculations and reproduces to a good approximation the 1/ƒ (1/ƒ^(2)) power law characteristic of chaotic (integrable) systems. Moreover, the theoretical results are valid for semiclassical systems as well. | eng |
| 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 | Gobierno de España | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/27785 | |
| dc.identifier.citation | Faleiro E, Gómez J M G, Molina R A, Muñoz L, Relaño A and Retamosa J 2004 Theoretical Derivation of 1 / f Noise in Quantum Chaos Phys. Rev. Lett. 93 244101 | |
| dc.identifier.doi | 10.1103/PhysRevLett.93.244101 | |
| dc.identifier.issn | 0031-9007 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevLett.93.244101 | |
| dc.identifier.relatedurl | http://journals.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51286 | |
| dc.issue.number | 24 | |
| dc.journal.title | Physical review letters | |
| dc.language.iso | eng | |
| dc.publisher | American Physical Society | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 536 | |
| dc.subject.keyword | Spectra | |
| dc.subject.ucm | Termodinámica | |
| dc.subject.unesco | 2213 Termodinámica | |
| dc.title | Theoretical derivation of 1/ƒ noise in quantum chaos | |
| dc.type | journal article | |
| dc.volume.number | 93 | |
| dcterms.references | [1] H.-J. Stöckmann, Quantum Chaos (Cambridge University Press, Cambridge, 1999). [2] M.V. Berry and M. Tabor, Proc. R. Soc. London A 356, 375 (1977). [3] O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984). [4] A. Relaño, J.M.G. Gómez, R. A. Molina, J. Retamosa, and E. Faleiro, Phys. Rev. Lett. 89, 244102 (2002). [5] J.O. Smith, Mathematics of the Discrete Fourier Transform (DFT) (W3K Publishing, Stanford, 2003), http://ccrma.stanford.edu/~jos/mdft/, ISBN 0-9745607-0-7. [6] M. L. Mehta, Random Matrices (Academic Press, New York, 1991). [8] J. B. French, V. K. B. Kota, A. Pandey, and S. Tomsovic, Ann. Phys. (N.Y.) 181, 198 (1988). [9] J. Hannay and A.M. Ozorio de Almeida, J. Phys. A 17, 3429 (1984). [10] M.V. Berry, Proc. R. Soc. London A 400, 229 (1985). [11] E. Caurier, F. Nowacki, A. Poves, and J. Retamosa, Phys. Rev. C 58, 2033 (1998). | |
| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication.latestForDiscovery | 53fed635-944b-485a-b13a-ea8f9355b7aa |
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