Entanglement dynamics for quantum systems with strongly long-range interactions

Strongly long-range interacting quantum systems—those with interactions decaying slower than 1/r^D in the distance r on a D-dimensional lattice —have received significant interest in recent years. They are present in leading experimental platforms for quantum computation and simulation, as well as in theoretical models of quantum information scrambling and fast entanglement creation. Since no notion of locality is expected in such systems, a general understanding of their dynamics is lacking. In a step towards rectifying this problem, we prove new Lieb-Robinson-type bounds that constrain the time it takes to entangle two parts of a quantum system with strongly long-range interactions. These bounds are optimal in a variety of physical scenarios where we can construct explicit Hamiltonians that saturate the bounds.