Non-Abelian spin singlet states of two-component Bose gases in   artificial gauge fields
  We study strongly correlated phases of a pseudo-spin-1/2 Bose gas in an artificial gauge field using the exact diagonalization method. The atoms are confined in two dimensions and interact via a two-body contact potential. In Abelian gauge fields, pseudo-spin singlets are favored by pseudo-spin independent interactions. We find a series of incompressible phases at fillings \nu=2k/3. By comparison with the non-Abelian spin singlet (NASS) states, constructed as zero-energy eigenstates of a (k+1)-body contact interaction, we classify the non-trivial topology of the states. An additional spin-orbit coupling is shown to switch between NASS-like states and spin-polarized phases from the Read-Rezayi series. 
Tobias Gra\ss, Bruno Juli\'a-D\'iaz, Nuria Barber\'an, and Maciej   Lewenstein
cond-mat.quant-gas cond-mat.str-el