  We study the quasiclassical dynamics of the cross-Kerr effect. In this
approximation, the typical periodical revivals of the decorrelation between the
two polarization modes disappear and they remain entangled. By mapping the
dynamics onto the Poincare space, we find simple conditions for polarization
squeezing. When dissipation is taken into account, the shape of the states in
such a space is not considerably modified, but their size is reduced.
