Meson condensation analogs in ultracold atomic and molecular dipolar gases

We show how an analog of meson condensation in dense nuclear matter can be realized in an ultracold gas of fermionic atoms, or molecules, with large magnetic dipole moments. We construct an antiferrrosmectic-C phase that at high densities has lower energy than the Fermi gas or ferronematic phases. The antiferrrosmectic-C phase is a one-dimensional periodic structure in which the fermions localize in layers with their pseudospin direction aligned parallel to the layers, and staggered layer by layer.