Destruction of Anderson localization by a weak nonlinearity

Details Destruction of Anderson localization by a weak nonlinearity Destruction of Anderson localization by a weak nonlinearity

2007-08-24

arxiv.org/abs/0708.3315v1

Phys. Rev. Lett. v.100, p.094101 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figs

Scientific paper

10.1103/PhysRevLett.100.094101

We study numerically a spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schr\"odinger 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^\alpha$, with the exponent $\alpha$ being in the range $0.3 - 0.4$. For small nonlinearities the distribution remains localized in a way similar to the linear case.

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