Destruction of Anderson localization by a weak nonlinearity

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We study numerically a spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schrödinger lattice with disorder. We demonstrate that above a certain critical strength of nonlinearity the Anderson localization is destroyed and an unlimited subdiffusive spreading of the field along the lattice occurs. The second moment grows with time $ \propto t^α$, with the exponent $α$ being in the range $0.3 - 0.4$. For small nonlinearities the distribution remains localized in a way similar to the linear case.
4 pages, 5 figs

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Disordered Systems and Neural Networks, Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/156617

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3315
 http://arxiv.org/abs/0708.3315
 Phys. Rev. Lett. v.100, p.094101 (2008)
 doi:10.1103/PhysRevLett.100.094101

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arXiv