  Magnetically-trapped atoms in Bose-Einstein condensates are spin polarized.
Since the magnetic field is inhomogeneous, the atoms aquire Berry phases of the
Aharonov-Bohm type during adiabatic motion. In the presence of an eletric field
there is an additional Aharonov-Casher effect. Taking into account the
limitations on the strength of the electric fields due to the polarizability of
the atoms, we investigate the extent to which these effects can be used to
induce rotation in a Bose-Einstein condensate.
