Scalable, ab initio protocol for quantum simulating SU(N)×U(1) Lattice Gauge Theories
Quantum(2023)
Abstract
We propose a protocol for the scalable quantum simulation of
SU(N)×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 atomic species. A
detailed ab initio study of the microscopic dynamics shows how gauge invariance
emerges in an accessible parameter regime, and allows us to identify the main
challenges in the simulation of such theories. We provide quantitative results
about the requirements in terms of experimental stability in relation to
observing gauge invariant dynamics, a key element for a deeper analysis on the
functioning of such class of theories in both quantum simulators and computers.
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