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arXiv · 1206.0833

Subdiffusion of nonlinear waves in quasiperiodic potentials

Marco Larcher·Tetyana V. Laptyeva·Joshua D. Bodyfelt·Franco Dalfovo·Michele Modugno·Sergej Flach
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Abstract

We study the spatio-temporal evolution of wave packets in one-dimensional quasiperiodic lattices which localize linear waves. Nonlinearity (related to two-body interactions) has destructive effect on localization, as recently observed for interacting atomic condensates [Phys. Rev. Lett. 106, 230403 (2011)]. We extend the analysis of the characteristics of the subdiffusive dynamics to large temporal and spatial scales. Our results for the second moment $m_2$ consistently reveal an asymptotic $m_2 \sim t^{1/3}$ and intermediate $m_2 \sim t^{1/2}$ laws. At variance to purely random systems [Europhys. Lett. 91, 30001 (2010)] the fractal gap structure of the linear wave spectrum strongly favors intermediate self-trapping events. Our findings give a new dimension to the theory of wave packet spreading in localizing environments.

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Marco Larcher, Tetyana V. Laptyeva, Joshua D. Bodyfelt, Franco Dalfovo, Michele Modugno, Sergej Flach. 2012-09-21. Subdiffusion of nonlinear waves in quasiperiodic potentials. https://doi.org/10.1088/1367-2630%2F14%2F10%2F103036

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