2026-06-29T07:33:21Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/444192025-08-27T17:45:43Zcom_20.500.14352_14col_20.500.14352_15
Perspectives on 1/ƒ noise in quantum chaos
Relaño Pérez, Armando
Molina, R. A.
Retamosa Granado, Joaquín
Muñoz Muñoz, Laura
Faleiro, E.
Gómez Gómez, José María
536
Power Spectrum
Symmetries
Termodinámica
2213 Termodinámica
© 2010 IOP Publishing Ltd. Symposium on Nuclear Physics (33rd. 2010. Morelos, México). This research has been supported in part by Spanish Government grant No. FIS2009-07277 and No. FIS2006-12783-C03-02, CSPD-2007 00042-Ingenio2010, and by the Universidad Complutense de Madrid grant UCM-910059. A.R. is supported by the CPAN Consolider program.
The power spectrum of the δ_(n) statistic of quantum spectra presents 1/ƒ^(α) noise. For chaotic systems α = 1 while for regular systems α = 2. Although the transition from regularity to chaos is non universal, for a wide variety of systems with a mixed phase space the value of α is intermediate between 1 and 2 and can be related to the fraction of regular or chaotic orbits in the total phase space. This statistic can be a very useful tool for the analysis of experimental spectra, specially in the case of missing levels or spectral sequences with mixed symmetries.
Gobierno de España
Universidad Complutense de Madrid
CPAN-Consolider program
Depto. de Estructura de la Materia, Física Térmica y Electrónica
Fac. de Ciencias Físicas
TRUE
pub
2023-06-20T03:46:29Z
2023-06-20T03:46:29Z
2010
journal article
https://hdl.handle.net/20.500.14352/44419
1742-6588
10.1103/physreva.80.032111
eng
Pérez-Fernández P, Relaño A, Arias J M, Dukelsky J and García-Ramos J E 2009 Decoherence due to an excited-state quantum phase transition in a two-level boson model Phys. Rev. A 80 032111
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
open access
application/pdf
IOP Publishing Ltd