  We construct non-Abelian geometric transformations in superconducting
nanocircuits, which resemble in properties the Aharonov-Bohm phase for an
electron transported around a magnetic flux line. The effective magnetic fields
can be strongly localized, and the path is traversed in the region where the
energy separation between the states involved is at maximum, so that the
adiabaticity condition is weakened. In particular, we present a scheme of
topological charge pumping.
