  We show the realization of axion electrodynamics within the Dual Chiral
Density Wave phase of dense quark matter in the presence of a magnetic field.
The system exhibits an anomalous dissipantionless Hall current perpendicular to
the magnetic field and an anomalous electric charge density. Connection to
topological insulators and 3D optical lattices, as well as possible
implications for heavy-ion collisions and neutron stars are outlined.
