Destruction of Anderson localization by a weak nonlinearity |
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Authors: | Pikovsky A S Shepelyansky D L |
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Institution: | Department of Physics, University of Potsdam, Am Neuen Palais 10, D-14469, Potsdam, Germany. |
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Abstract: | We study numerically the spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schr?dinger 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. |
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