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Destruction of Anderson Localization by a Weak Nonlinearity

2008; American Physical Society; Volume: 100; Issue: 9 Linguagem: Inglês

10.1103/physrevlett.100.094101

1092-0145

Arkady Pikovsky, Dima L. Shepelyansky,

Cold Atom Physics and Bose-Einstein Condensates

We study numerically the 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 proportional, variant 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.