Anderson localization in the quintic nonlinear Schr\"odinger equation
Quantum Physics
2011-04-29 v1 Quantum Gases
Abstract
In the present paper we consider the quintic defocusing nonlinear Schr\"odinger equation in presence of a disordered random potential and we analyze the effects of the quintic nonlinearity on the Anderson localization of the solution. The main result shows that Anderson localization requires a cutoff on the value of the parameter which controls the quintic nonlinearity, with the cutoff depending on the amplitude of the random potential.
Keywords
Cite
@article{arxiv.1104.5434,
title = {Anderson localization in the quintic nonlinear Schr\"odinger equation},
author = {A. T. Avelar and W. B. Cardoso},
journal= {arXiv preprint arXiv:1104.5434},
year = {2011}
}
Comments
4 pages, 7 figures