SISSA and INFN, Sezione di Trieste, Via Bonomea 265, I-34136 Trieste, Italy.
Phys Rev Lett. 2010 Sep 17;105(12):125304. doi: 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 nondegenerate. 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 quasiholes), are studied for both fermionic and bosonic gases.
我们证明了作用在具有两个精细能级的超冷气体上的非阿贝尔势可以产生具有非阿贝尔激发的基态。我们考虑了一个现实的规范势，其中可以精确确定朗道能级：矢量势的非阿贝尔部分使朗道能级非简并。在强排斥相互作用下，通常会出现变形的朗厄尔基态。然而，在朗道能级的简并点处，会出现非阿贝尔量子霍尔态：这些基态，包括变形的摩尔-里德态（以作为准粒子的伊辛任意子为特征），已针对费米子和玻色子气体进行了研究。
