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Journal Articles Journal of Modern Optics Year : 2010

Classical diffusive dynamics for the quasiperiodic kicked rotor

Abstract

We study the classical dynamics of a quasiperiodic kicked rotor, whose quantum counterpart is known to be an equivalent of the 3D Anderson model. Using this correspondence allowed for a recent experimental observation of the Anderson transition with atomic matter waves. In such a context, it is particularly important to assert the chaotic character of the classical dynamics of this system. We show here that it is a 3D anisotropic diffusion. Our simple analytical predictions for the associated diffusion tensor are found in good agreement with the results of numerical simulations.
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Dates and versions

hal-00508550 , version 1 (04-08-2010)

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Gabriel Lemarié, Dominique Delande, Jean Claude Garreau, Pascal Szriftgiser. Classical diffusive dynamics for the quasiperiodic kicked rotor. Journal of Modern Optics, 2010, 57 (19), pp.1922-1927. ⟨10.1080/09500340.2010.506009⟩. ⟨hal-00508550⟩
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