Andrea	Trombettoni -	SISSA Trieste	#	
Non-abelian anyons with ultracold atoms in artificial gauge 
potentials	#
We discuss the properties of ultracold gases with two 
hyperfine levels in non-abelian potentials, showing that it is 
possible to have 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.