Gravitational horizons in quantum matter

We propose a class of lattice models realizable in condensed matter systems whose low-energy dynamics exactly reduces to Dirac fields subjected to gravitational backgrounds. Wave-packets propagating on the lattice exhibit eternal slowdown, signalling the formation of black hole event horizons. We show that the semiclassical wave packets trajectories coincide with the geodesics on (1+1)D dilaton gravity, paving the way for new and experimentally feasible routes to mimic black hole horizons and realize (1+1)D spacetimes as they appear in certain gravity theories.