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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2014

Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions

Résumé

We study numerically the frequency modulated kicked nonlinear rotator with effective dimension $d=1,2,3,4$. We follow the time evolution of the model up to $10^9$ kicks and determine the exponent $\alpha$ of subdiffusive spreading which changes from $0.35$ to $0.5$ when the dimension changes from $d=1$ to $4$. All results are obtained in a regime of relatively strong Anderson localization well below the Anderson transition point existing for $d=3,4$. We explain that this variation of the exponent is different from the usual $d-$dimensional Anderson models with local nonlinearity where $\alpha$ drops with increasing $d$. We also argue that the renormalization arguments proposed by Cherroret N et al. arXiv:1401.1038 are not valid.

Dates et versions

hal-00959829 , version 1 (17-03-2014)

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Citer

Leonardo Ermann, Dima Shepelyansky. Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions. Journal of Physics A: Mathematical and Theoretical, 2014, 47 (33), pp.335101. ⟨10.1088/1751-8113/47/33/335101⟩. ⟨hal-00959829⟩
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