1/f(alpha) noise in spectral fluctuations of quantum systems

Year: 2005

Authors: Gomez J.M.G., Relano A., Retamosa J., Faleiro E., Salasnich L., Vranicar M., Robnik M.

Autors Affiliation: Univ Complutense Madrid, Dept Fis Atom Mol & Nucl, E-28040 Madrid, Spain; Univ Politecn Madrid, EUIT Ind, Dept Fis Aplicada, E-28012 Madrid, Spain; Univ Milan, Dipartimento Fis, INFM, Unita Milano, I-20133 Milan, Italy; Univ Maribor, CAMTP, SI-2000 Maribor, Slovenia

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.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 94 (8)      Pages from: 084101-1  to: 084101-4

KeyWords: quantum chaos
DOI: 10.1103/PhysRevLett.94.084101

ImpactFactor: 7.489
Citations: 72
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