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1/ƒ^(α) noise in spectral fluctuations of quantum systems

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Relaño Pérez, Armando and Gómez Gómez, José María and Retamosa Granado, Joaquín and Faleiro, E. and Salasnich, L. and Vranicar, M. and Robnik, M. (2005) 1/ƒ^(α) noise in spectral fluctuations of quantum systems. Physical Review Letters, 94 (8). ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.94.084101


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Abstract

The power law 1/ƒ^(α) 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/ƒ^(α) 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.


Item Type:Article
Additional Information:

©2005 The American Physical Society. This work is supported in part by Spanish Government Grant Nos. BFM2003-04147-C02 and FTN2003-08337-C04-04. This work is also supported by the Ministry of Education, Science and Sports of the Republic of Slovenia.

Uncontrolled Keywords:Energy-Level Statistics, Analytic Boundaries, Classical Dynamics, Transition Region, Phase-Space, Billiards, Integrability, Family, Chaos
Subjects:Sciences > Physics > Thermodynamics
ID Code:27776
Deposited On:18 Dec 2014 11:46
Last Modified:18 Dec 2014 11:46

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