  A scheme for dynamical stabilization of entanglement quantified by the
quantum Fisher information is analyzed numerically and analytically for bimodal
and spin-1 Bose-Einstein condensates in the context of atomic interferometry.
The scheme consists of twisting dynamics followed by a single rotation of a
state which limits further evolution around stable center fixed points in the
mean-field phase space. The resulting level of entanglement is of the order or
larger than at the moment of rotation. It is demonstrated that the readout
measurement of parity quantifies the level of entanglement during entire
evolution.
