Topological Wigner Crystal of Half-Solitons in a Spinor BEC
arXiv:1209.6197 · doi:10.1103/PhysRevLett.110.035303
Abstract
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.
5 pages, 4 figures