Composite fermion state of spin-orbit-coupled bosons

We consider spinor Bose gas with the isotropic Rashba spin-orbit coupling in two dimensions. We argue that at low density, its ground state is a composite fermion state with a Chern-Simons gauge field and filling factor of one. The chemical potential of such a state scales with the density as mu proportional to n(3/2). This is a lower energy per particle than mu proportional to n for the earlier suggested ground-state candidates: a condensate with broken time-reversal symmetry and a spin-density wave state. DOI: 10.1103/PhysRevA.86.063639