Fig. 1: Diagram of the mapping.
From: Large-scale 2 + 1D U(1) gauge theory with dynamical matter in a cold-atom quantum simulator
a Mapping of the 2 + 1D U(1) quantum link model (QLM) onto the two-dimensional Bose–Hubbard model (BHM) on a Lieb superlattice. A matter site (shallow) can host one or zero bosons, while a gauge site (deep) can host two or zero bosons. Forbidden sites (deepest) are never occupied. b The different matter and electric-field configurations permitted by Gauss’s law in the computational basis, shown for both the QLM and its BHM mapping.
