Perspectives on 1/ƒ noise in quantum chaos

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 bet...

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Detalles Bibliográficos
Autores: Relaño Pérez, Armando, Molina, R. A., Retamosa Granado, Joaquín, Muñoz Muñoz, Laura, Faleiro, E., Gómez Gómez, José María
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/44419
Acceso en línea:https://hdl.handle.net/20.500.14352/44419
Access Level:acceso abierto
Palabra clave:536
Power Spectrum
Symmetries
Termodinámica
2213 Termodinámica
Descripción
Sumario: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.