Origin of the $1/f^{\alpha}$-Spectral-Noise in Chaotic and Regular Quantum Systems

POSTER

Abstract

Based on the recent connection between the spectral form factor and the probability to return [Phys. Rev. Lett. 102, 150401 (2009)], the origin of the $1/f^\alpha$-noise in fully chaotic and fully integrable systems is tracked to the quantum interference between invariant manifolds of the classical dynamics and the dimensionality of those manifolds. This connection and the order-to-chaos transition are analyzed in terms of the statistics of Floquet's quasienergies of a classically chaotic driving non-linear system. The direct connection established here allows for predicting that in the presence of decoherence, the statistics of the spectral correlations of both, chaotic and integrable, coincide.

Authors

  • Leonardo A. Pachon

    Univ de Antioquia, Instituto de Fisica, Universidad de Antioquia. Department of Chemistry and Chemical Biology, Harvard University., Grupo de Fisica Atomica y Molecular, Instituto de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA. Medellin, Colombia, Instate de Fisica, Universidad de Antioquia. Department of Chemistry and Chemical Biology, Harvard University.

  • Armando Rela\~no

    Departamento de Fisica Aplicada I and GISC, Universidad Complutense de Madrid, Spain.

  • Borja Peropadre

    Department of Chemistry and Chemical Biology, Harvard University.

  • Alan Aspuru-Guzik

    Harvard Univ, Department of Chemistry and Chemical Biology, Harvard University., Harvard University, Department of Chemistry and Chemical Biology, Harvard University