Topological Wigner Crystal of Half-Solitons in a Spinor BEC
  We consider a one-dimensional gas of half-solitons in a spinor Bose-Einstein condensate. We calculate the topological interaction potential between the half-solitons. Using a kinetic equation of the Vlasov-Boltzmann type, we model the coupled dynamics of the interacting solitons. We show that the dynamics of the system in the gaseous phase is marginally stable and spontaneously evolves towards a Wigner crystal. 
H. Ter\c{c}as, D. D. Solnyshkov and G. Malpuech
cond-mat.quant-gas cond-mat.other