Erez Michaely, Shmuel Fishman
For the Nonlinear Shr\"odinger Equation with disorder it was found
numerically that in some regime of the parameters Anderson localization is
destroyed and subdiffusion takes place for a long time interval. It was argued
that the nonlinear term acts as random noise. In the present work the
properties of this effective noise are studied numerically. Some assumptions
made in earlier work were verified, the dependence of various quantities on the
localization length of the linear problem were computed. A scenario for the
possible breakdown of the theory for a very long time is outlined.
View original:
http://arxiv.org/abs/1108.5867
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