We study the motion of a self-attractive Bose-Einstein condensate with pseudospin $\frac{1}{2}$ driven by a synthetic Rabi (Zeeman-like) field. This field triggers the pseudospin 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.

• Received 2 November 2018

DOI:https://doi.org/10.1103/PhysRevA.99.013611