The central challenge of quantum many-body physics is the curse of dimensionality: the Hilbert space dimension grows exponentially with the number of degrees of freedom. One of the key tools to handle this large dimension is the Lieb–Robinson bound (LRB). It provides an approximate causal structure (“effective light cones”) for the quantum dynamics of local observables. Its applications range from mathematical structure theory (e.g., proving existence of thermodynamic limits) to quantum information (e.g., designing quantum simulation algorithms). LRBs are well-understood for quantum spin systems, which are systems on discrete graphs with bounded local interactions. However, for models with unbounded local terms, such as lattice bosons and more realistic continuum models, the usual techniques no longer apply. I will report on recent progress in deriving LRBs for such systems.