Exotic phases of QCD exhibiting strong correlations exist
at very high baryon density and relatively low temperatures. Examples
of such phases range from nucleon superfluid phases expected to occur
in the interior of neutron stars, to possible color superconducting
phases, which may occur in the core of a neutron stars. Some of these
phases may also occur in relativistic heavy ion collisions in the
high baryon density regime, e.g. at RHIC (BES), FAIR, and NICA. We
discuss the possibilities of detecting them in heavy ion collisions
focusing on the universal aspects of associated phase transitions.