  Dipolar Bose-Einstein condensates have recently attracted much attention in
the world of quantum many body experiments. While the theoretical principles
behind these experiments are typically supported by numerical simulations, the
application of optimal control algorithms could potentially open up entirely
new possibilities. As a proof of concept, we demonstrate that the formation
process of a single dipolar droplet state could be dramatically accelerated
using advanced concepts of optimal control. More specifically, our optimization
is based on a multilevel B-spline method reducing the number of required cost
function evaluations and hence significantly reducing the numerical effort.
Moreover, our strategy allows to consider box constraints on the control inputs
in a concise and efficient way. To further improve the overall efficiency, we
show how to evaluate the dipolar interaction potential in the generalized
Gross-Pitaevskii equation without sacrificing the spectral convergence rate of
the underlying time-splitting spectral method.
