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We show that non-abelian potentials acting on ultracold gases with twohyperfine levels can give rise to ground states with non-abelian excitations.We consider a realistic gauge potential for which the Landau levels can beexactly determined: the non-abelian part of the vector potential makes theLandau levels non-degenerate. In the presence of strong repulsive interactions,deformed Laughlin ground states occur in general. However, at the degeneracypoints of the Landau levels, non-abelian quantum Hall states appear: theseground states, including deformed Moore-Read states (characterized by Isinganyons as quasi-holes), are studied for both fermionic and bosonic gases.

Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials