Control of a Bose-Einstein condensate on a chip by external optical and magnetic potentials

► Generic potential used to describe both the optical evanescent and magnetic fields. ► An analytic closed form solution found for the impact of a generic potential on a BEC. ► BEC dynamics calculated for potential time sequences attainable in experiments. ► Conditions for BEC transfer by an external field identified. ► Exponential-potential model validated by a BEC-on-chip experiment.