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Phys Rev Lett. 2005 Mar 4;94(8):084101. Epub 2005 Mar 3.

1/f alpha noise in spectral fluctuations of quantum systems.

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1
Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid, Spain.

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.

PMID:
15783893
DOI:
10.1103/PhysRevLett.94.084101
[Indexed for MEDLINE]
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