A distinctive feature of atomic, molecular, and optical systems is that interactions between particles are often long ranged.
Using control techniques in quantum optics, the pattern of these long-range interactions can be highly tunable, creating an entirely new degree of freedom, absent in typical condensed matter systems, that could lead to the discovery of novel quantum phases, the simulation of quantum chemistry problems, and faster quantum information processing.
At the heart of these potential applications is the still lacking understanding of locality and causality in long-range interacting quantum systems. In this talk, I will present our recent theoretical studies towards such understanding. In particular, I will highlight the effects of long-range interactions on quantum quenches, topological phases, and spontaneous symmetry breaking.