Destruction of Anderson localization by a weak nonlinearity
| Autor: | Pikovsky, A. S., Shepelyansky, D. L. |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. v.100, p.094101 (2008) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.100.094101 |
| Popis: | 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. Comment: 4 pages, 5 figs |
| Databáze: | arXiv |
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