  We study the motion of a self-attractive Bose-Einstein condensate with
pseudo-spin 1/2 driven by a synthetic Rabi (Zeeman-like) field. This field
triggers the pseudo-spin dynamics resulting in a density redistribution between
its components and, as a consequence, in changes of the overall density
distribution. In the presence of an additional external potential, the latter
produces a net force acting on the condensate and activates its displacement.
As an example, here we consider the case of a one-dimensional condensate in a
random potential.
