arxiv: 1209.6197 · v1 · pith:JW73MVI2new · submitted 2012-09-27 · ❄️ cond-mat.quant-gas · cond-mat.other

Topological Wigner Crystal of Half-Solitons in a Spinor BEC

H. Ter\c{c}as , D. D. Solnyshkov , G. Malpuech This is my paper

classification ❄️ cond-mat.quant-gas cond-mat.other

keywords half-solitonscrystaldynamicsspinortopologicalwignerbose-einsteincalculate

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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.

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Topological Wigner Crystal of Half-Solitons in a Spinor BEC

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