  In the stochastic mean-field approach, an ensemble of initial conditions is
considered to incorporate correlations beyond the mean-field. Then each
starting pont is propagated separately using the Time-Dependent Hartree-Fock
equation of motion. This approach provides a rather simple tool to better
describe fluctuations compared to the standard TDHF. Several illustrations are
presented showing that this theory can be rather effective to treat the
dynamics close to a quantum phase transition. Applications to fusion and
transfer reactions demonstrate the great improvement in the description of mass
dispersion.
