  We reveal the existence of polarizing quantum phases for the enantiomers of
cold, interacting chiral molecules in an optical helicity lattice by means of
an extended Bose-Hubbard model. These recently proposed lattices have sites
with alternating helicity which exert a discriminatory force on chiral
molecules with different handedness. In our study of the phase diagram we find
that a strong dipolar repulsion between molecules results in the separation of
left and right enantiomers.
