Quantum simulation with arrays of individual atoms

This talk will present how individual atoms trapped in tweezer arrays and excited to Rydberg states can be used to perform quantum simulations of many-body Hamiltonians. This system naturally implements various spin models, such as the XY or quantum Ising ones commonly studied in condensed matter physics. The talk will first describe the trapping of individual atoms in arrays of tweezers. It will then discuss several recent experiments simulating quantum magnetism, including in out-of-equilibrium situations, or implementing topological situations with this platform.