  Based on a two-mode boson model, we study nonclassical properties of the
atom-molecule Bose-Einstein condensate. The effects of nonlinear collisions on
the dynamics of the molecular formation is studied both in classical and
quantum treatments. We find that the conversion from atoms to molecules can be
suppressed strongly due to nonlinearity-induced localization of the atomic
population. In addition, we study statistical properties of the atom-molecule
condensed system by calculating the intensity correlation functions
numerically. We find that the effect of nonlinearity leads to the appearance of
superchaotic molecular pulses, while maintaining the atomic field
sub-Poissonian. The joint quantum statistical properties of the atoms and the
molecules always show anti-bunching.
