Anderson localization in the quintic nonlinear Schrödinger equation

Details Anderson localization in the quintic nonlinear Schrödinger equation Anderson localization in the quintic nonlinear Schrödinger equation

2011-04-28

arxiv.org/abs/1104.5434v1

Physics

Quantum Physics

4 pages, 7 figures

Scientific paper

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.

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