Scalable, ab initio protocol for quantum simulating SU($N$)$ imes$U(1) Lattice Gauge Theories
We propose a protocol for the scalable quantum simulation of SU($N$)$ imes$U(1) lattice gauge theories with alkaline-earth like atoms in optical lattices in both one- and two-dimensional systems.The protocol exploits the combination of naturally occurring SU($N$) pseudo-spin symmetry and strong inter-orbital interactions that is unique to such atom