2004/10/31 by Laura Rebuzzini, Sandro Wimberger, Roberto Artuso · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.soft #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreve.71.036220
published as Phys. Rev. E 71, 036220 (2005) · 8 pages, 10 figures; to appear in Phys. Rev. E
arxiv created 2005/02/10 · openalex publication_date 2005/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the effects of a nonlinear cubic perturbation on the delta-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.