  We study transitionless quantum driving in an infinite-range many-body system
described by the Lipkin-Meshkov-Glick model. Despite the correlation length
being always infinite the closing of the gap at the critical point makes the
driving Hamiltonian of increasing complexity also in this case. To this aim we
develop a hybrid strategy combining shortcut to adiabaticity and optimal
control that allows us to achieve remarkably good performance in suppressing
the defect production across the phase transition.
