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Delocalized and resonant quantum transport in nonlinear generalizations of the kicked rotor model

Laura Rebuzzini1, Sandro Wimberger2, and Roberto Artuso1,3,4

  • 1Center for Nonlinear and Complex Systems and Dipartimento di Fisica e Matematica, Università dell’Insubria, Via Valleggio 11, 22100 Como, Italy
  • 2Dipartimento di Fisica E. Fermi, Università degli Studi di Pisa, Via Buonarroti 2, 56127 Pisa, Italy
  • 3Unità di Como, Istituto Nazionale per la Fisica della Materia, Via Valleggio 11, 22100 Como, Italy
  • 4Sezione di Milano, Istituto Nazionale di Fisica Nucleare, Via Celoria 16, 20133 Milano, Italy

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Phys. Rev. E 71, 036220 – Published 24 March, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.036220

Abstract

We analyze the effects of a nonlinear cubic perturbation on the δ-kicked rotor. We consider two different models, in which the nonlinear term acts either in the position or in the momentum representation. We numerically investigate the modifications induced by the nonlinearity in the quantum transport in both localized and resonant regimes and a comparison between the results for the two models is presented. Analyzing the momentum distributions and the increase of the mean square momentum, we find that the quantum resonances asymptotically are very stable with respect to nonlinear perturbation of the rotor’s phase evolution. For an intermittent time regime, the nonlinearity even enhances the resonant quantum transport, leading to superballistic motion.

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Phys. Rev. E 71, 036220– Published 24 March, 2005
  • Received 12 October 2004

© 2005 American Physical Society

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