Speaker
Michele Burrello
(SISSA)
Description
Ultracold atoms offer a useful tool to simulate the physics of the quantum Hall effect. In particular, non-abelian potentials acting on
ultracold gases with two hyperfine levels can give raise 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 presence of strong repulsive interactions, deformed Laughlin ground states in general occur. However, at the degeneracy
points of the Landau levels non-abelian quantum Hall states appear and explicit analytical results can be obtained.
