Phys. Rev. Lett. 94, 084101 (2005) [4 pages]1/fα Noise in Spectral Fluctuations of Quantum SystemsReceived 29 April 2004; published 3 March 2005 The power law 1/fα 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/fα is found at all the transition stages, and it is shown that the exponent α is related to the chaotic component of the classical phase space of the quantum system. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.084101
DOI:
10.1103/PhysRevLett.94.084101
PACS:
05.45.Mt, 05.40.–a, 05.45.Tp, 05.65.+b
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