Subdiffusion of nonlinear waves in quasiperiodic potentials
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 consistently reveal an asymptotic and intermediate 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.
Cite
@article{arxiv.1206.0833,
title = {Subdiffusion of nonlinear waves in quasiperiodic potentials},
author = {Marco Larcher and Tetyana V. Laptyeva and Joshua D. Bodyfelt and Franco Dalfovo and Michele Modugno and Sergej Flach},
journal= {arXiv preprint arXiv:1206.0833},
year = {2015}
}