Spin-$S$ $\mathrm{U}(1)$ Quantum Link Models with Dynamical Matter on a Quantum Simulator

Understand

Quantum link models (QLMs) offer the realistic prospect for the practical implementation of lattice quantum electrodynamics (QED) on modern quantum simulators, and they provide a venue for exploring various nonergodic phenomena relevant to quantum many-body physics.

• In these models, gauge and electric fields are represented by spin-$S$ operators.
• So far, large-scale realizations of QLMs have been restricted to $S=1/2$ representations, whereas the lattice-QED limit is approached at $S\to\infty$.
• Here, we present a bosonic mapping for the representation of gauge and electric fields with effective spin-$S$ operators for arbitrarily large values of $S$.