Speaker
Description
Recently, there has been remarkable progress in realizing constrained models and lattice gauge theories in a number of experimental platforms, ranging from trapped ions to cold-atoms in optical lattices, Rydberg atoms arrays and superconducting qubits. In this lecture I will introduce the basic ingredients needed to engineer local constraints and gauge symmetries and will review experimental protocols that have led to successful implementations and first studies of phase transitions and out-of-equilibrium dynamics. While most of the results have been obtained in 1D models with Abelian symmetry, there are first promising routes towards simulations in higher dimensions, as well as more complex gauge theories, which I will discuss as an outlook.