A mobility phenomenon is typical for a large class of non-linear evolutions. It is shown that the mobility can be responsible for a “malignant” form of quantum mechanical non separability of two correlated systems. An explicit example based on Weinberg's non linear quantum mechanics is considered. We show that in such a theory a transfer of information without a transfer of energy is possible and discuss physical roots of this phenomenon. In Polchinski's approach this effect is not present.