RT Journal Article
T1 Origin of the 1/f(alpha) spectral noise in chaotic and regular quantum systems
A1 Pachón, Leonardo A.
A1 Relaño Pérez, Armando
A1 Peropadre, Borja
A1 Aspuru-Guzik, Alán
AB Based on the connection between the spectral form factor and the probability to return, the origin of the energy level fluctuation 1/f(alpha) noise in fully chaotic and fully integrable systems is traced to the quantum interference between invariant manifolds of the classical dynamics and the dimensionality of those invariant manifolds. This connection and the order-to-chaos transition are analyzed in terms of the statistics of Floquet's quasienergies of a classically chaotic driving nonlinear system. An immediate prediction of the connection established here is that in the presence of decoherence, the spectral exponent a takes the same value, alpha = 2, for both fully chaotic and fully integrable systems.
PB Amer Physical Soc
SN 2470-0045
YR 2018
FD 2018-10-19
LK https://hdl.handle.net/20.500.14352/13135
UL https://hdl.handle.net/20.500.14352/13135
LA eng
NO ©2018 American Physical Society. Discussions with Thomas Dittrich are acknowledged with pleasure. This work was supported by the Comité para el Desarrollo de la Investigación (CODI) of Universidad de Antioquia, Colombia under the Estrategia de Sostenibilidad and Grant No. 2015-7631, and by Colombian Institute for the Science and Technology Development (COLCIENCIAS) under Grant No. FP44842-119-2016. A.R. is supported by Spanish Grants No. FIS2012-35316 and No. FIS2015-63770-P (MINECO/FEDER).
NO Ministerio de Economía y Competitividad (MINECO)/FEDER
NO Comité para el Desarrollo de la Investigación (CODI) of Universidad de Antioquia, Colombia under the Estrategia de Sostenibilidad
NO Colombian Institute for the Science and Technology Development (COLCIENCIAS)
DS Docta Complutense
RD 17 ago 2024