title: 1/f alpha noise in spectral fluctuations of quantum systems.
abstract: The power law 1/f(alpha) in the power spectrum characterizes the fluctuating observables of many complex natural systems. Considering the energy levels of a quantum system as a discrete time series where the energy plays the role of time, the level fluctuations can be characterized by the power spectrum. Using a family of quantum billiards, we analyze the order-to-chaos transition in terms of this power spectrum. A power law 1/f(alpha) is found at all the transition stages, and it is shown that the exponent alpha is related to the chaotic component of the classical phase space of the quantum system.
authors.affiliation: Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid, Spain.
authors.forename: J M G
authors.initials: JM
authors.lastname: Gómez
authors.forename: A
authors.initials: A
authors.lastname: Relaño
authors.forename: J
authors.initials: J
authors.lastname: Retamosa
authors.forename: E
authors.initials: E
authors.lastname: Faleiro
authors.forename: L
authors.initials: L
authors.lastname: Salasnich
authors.forename: M
authors.initials: M
authors.lastname: Vranicar
authors.forename: M
authors.initials: M
authors.lastname: Robnik
mesh_terms: D008954:Models, Biological; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011789:Quantum Theory