Subdiffusion of nonlinear waves in quasiperiodic potentials

Year: 2012

Authors: Larcher M., Laptyeva T.V., Bodyfelt J.D., Dalfovo F., Modugno M., Flach S.

Autors Affiliation: INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy;
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str 38, D-01187 Dresden, Germany;
IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain;
Department of Theoretical Physics and History of Science, Universidad del Pais Vasco UPV/EHU, E-48080 Bilbao, Spain;
New Zealand Institute for Advanced Study, Massey University, Auckland, New Zealand.

Abstract: We study the time evolution of wave packets in one-dimensional quasiperiodic lattices which localize linear waves. Nonlinearity (related to two-body interactions) has a destructive effect on localization, as observed recently for interacting atomic condensates (Lucioni et al 2011 Phys. Rev. Lett. 106 230403). 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) similar to t(1/3) and an intermediate m(2) similar to t(1/2) law. At variance with purely random systems (Laptyeva et al 2010 Europhys. Lett. 91 30001), the fractal gap structure of the linear wave spectrum strongly favours intermediate self-trapping events. Our findings give a new dimension to the theory of wave packet spreading in localizing environments.


Volume: 14      Pages from: 103036  to: 103036

More Information: ML acknowledges the Max Planck Institute for the Physics of Complex Systems, Dresden, for their hospitality. We are indebted to G Modugno and E Lucioni for fruitful discussions. This work was supported by the European Research Council through the QGBE grant and by the UPV/EHU under the UFI 11/55.
DOI: 10.1088/1367-2630/14/10/103036

Citations: 36
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