1/fα Noise in Spectral Fluctuations of Quantum Systems

J. M. G. Gómez, A. Relaño, J. Retamosa, E. Faleiro, L. Salasnich, M. Vraničar, and M. Robnik
Phys. Rev. Lett. 94, 084101 – Published 3 March 2005

Abstract

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.

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  • Received 29 April 2004

DOI:https://doi.org/10.1103/PhysRevLett.94.084101

©2005 American Physical Society

Authors & Affiliations

J. M. G. Gómez1, A. Relaño1, J. Retamosa1, E. Faleiro2, L. Salasnich3,4, M. Vraničar4, and M. Robnik4

  • 1Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid, Spain
  • 2Departamento de Física Aplicada, EUIT Industrial, Universidad Politécnica de Madrid, E-28012 Madrid, Spain
  • 3INFM, Unità di Milano Università, Dipartimento di Fisica, Università di Milano, Via Celoria 16, I-20133 Milano, Italy
  • 4CAMTP, University of Maribor, Krekova 2, SI-2000 Maribor, Slovenia

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Issue

Vol. 94, Iss. 8 — 4 March 2005

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