Lieb–Robinson light cone: ‖[A(t),B]‖ ≤ C·exp(v·t − d(A,B)/ξ); Grönwall exponential bound

Lieb–Robinson theorem: emergent light-cone structure in local lattice Hamiltonians. Setup: a local Hamiltonian H = Σ_i h_i on a lattice, with bounded terms ‖h_i‖ ≤ s and range one. Theorem: for operators A, B supported on sites separated…