Understanding strongly coupled gauge theories is a fundamental challenge of physics, with dramatic
implications both for high energy and condensed matter. Doing it with a quantum simulator is a
formidable test for quantum simulation. Here we show that by exploiting electromagnetic duality, we
can create the Rokhsar-Kivelson Hamiltonian –a 2D U(1) lattice gauge theory that describes quantum
dimers- in running Rydberg experiments by exploiting Rydberg blockade in a novel fashion. Quantum
phases like resonating valence bonds become immediately accessible to Rydberg experiments, with
dramatic implications for atomic, condensed matter, and high energy physics.