  Simulation of materials by using quantum processors is envisioned to be a
major direction of development in quantum information science. Here we exploit
the mathematical analogies between a triangular spin lattice with
Dzyaloshinskii-Moriya coupling on one edge and a three-level system driven by
three fields in a loop configuation to emulate spin-transport effects. We show
that the spin transport efficiency, seen in the three-level system as
population transfer, is enhanced when the conditions for superadiabaticity are
satisfied. We demonstrate experimentally that phenomena characteristic to spin
lattices due to gauge invariance, non-reciprocity, and broken time-reversal
symmetry can be reproduced in the three-level system.
