  We use an exact quantum phase model to study the dynamical generation of
particle-entanglement in a bosonic Josephson junction composed by two coupled
and interacting Bose-Einstein condensates. Using analytical arguments, we show
that linear coupling can accelerate the creation of entanglement with respect
to the well known one-axis twisting model where coupling is absent.
Furthermore, with a numerical analysis of optimal control schemes, we identify
the optimal parameters for the fast generation of metrologically useful
entanglement on short time scales: the optimal evolution is generated for a
specific ratio between the coupling and the interaction strength.
