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

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

2010-06-02

arxiv.org/abs/1006.0453v2

Phys.Rev.Lett.105:125304,2010

Physics

Condensed Matter

Quantum Gases

Published version

Scientific paper

10.1103/PhysRevLett.105.125304

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

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