  We investigate the effect of a single spin flip preceding a global quench
between translationally invariant local Hamiltonians in spin-$\tfrac{1}{2}$
chains. The effect of the localised perturbation does not fade away however
large the distance from the perturbation is. In particular, translational
invariance is not restored and the infinite time limit depends on whether the
spin was flipped or not. We argue that this phenomenon is more general than the
particular example considered and we conjecture that it is triggered by
topological properties, specifically, the existence of "semilocal charges".
