  A quantum control protocol is proposed for the creation of NOON states with
$N$ ultracold bosonic atoms on two modes, corresponding to the coherent
superposition $\vert N,0\rangle + \vert 0,N\rangle$. This state can be prepared
by using a third mode where all bosons are initially placed and which is
symmetrically coupled to the two other modes. Tuning the energy of this third
mode across the energy level of the other modes allows the adiabatic creation
of the NOON state. While this process normally takes too much time to be of
practical usefulness, due to the smallness of the involved spectral gap, it can
be drastically boosted through counterdiabatic driving which allows for
efficient gap engineering. We demonstrate that this process can be implemented
in terms of static parameter adaptations that are experimentally feasible with
ultracold quantum gases. Gain factors in the required protocol speed are
obtained that increase exponentially with the number of involved atoms and thus
counterbalance the exponentially slow collective tunneling process underlying
this adiabatic transition.
