title: Cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory.
abstract: 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.
authors.affiliation: Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Tel-Aviv 69978, Israel.
authors.forename: Erez
authors.initials: E
authors.lastname: Zohar
authors.affiliation: Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.
authors.forename: J Ignacio
authors.initials: JI
authors.lastname: Cirac
authors.affiliation: Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Tel-Aviv 69978, Israel.
authors.forename: Benni
authors.initials: B
authors.lastname: Reznik