2012/11/15 by Erez Zohar, J. Ignacio Cirac, Benni Reznik · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.quant-gas #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevlett.110.125304
published as Phys. Rev. Lett. 110, 125304 (2013) · Including supplemental material. Second version: references added
arxiv created 2012/11/15 · arxiv updated 2013/03/25
Non-abelian gauge theories play an important role in the standard model of particle physics, and unfold a partially unexplored world of exciting physical phenomena. In this letter, we suggest a realization of a non-abelian lattice gauge theory - SU(2) Yang-Mills in 1+1 dimensions, using ultracold atoms. Remarkably, and in contrast to previous proposals, in our model gauge invariance is a direct consequence of angular momentum conservation and thus is fundamental and robust. Our proposal may serve as well as a starting point for higher dimensional realizations.