Solitonized Anderson localized states move

The conventional wisdom is that transport is absent in the presence of Anderson localization. However, nonlinearity changes things.

In a paper published in Physical Review Letters (arXiv:1407.7990),  Marco Leonetti, Salman Karbasi, Arash Mafi, and Claudio Conti, report experimental evidence that disorder induced two-dimensional states in an optical fiber display collective motion and action at a distance. It is also shown that the trend of the localization length with power is compatible with that of a spatial optical soliton, giving support to the fact that two mechanicsms, disorder and nonlinearity, may cohexist.

The pictures below show the profile of one localized state versus power and the collective motion of several localizations, they exhibit a mutual attraction because of the nonlocal nonlinearity.