Integrable matrix models in discrete space-timeKrajnik, Žiga (Avtor) Ilievski, Enej (Avtor) Prosen, Tomaž (Avtor) dynamical systemstheoretical physicsWe introduce a class of integrable dynamical systems of interacting classical matrixvalued fields propagating on a discrete space-time lattice, realized as many-body circuits built from elementary symplectic two-body maps. The models provide an efficient integrable Trotterization of non- relativistic σ-models with complex Grassmannian manifolds as target spaces, including, as special cases, the higher- rank analogues of the Landau–Lifshitz field theory on complex projective spaces. As an application, we study transport of Noether charges in canonical local equilibrium states. We find a clear signature of superdiffusive behavior in the Kardar–Parisi–Zhang universality class, irrespectively of the chosen underlying global unitary symmetry group and the quotient structure of the compact phase space, providing a strong indication of superuniversal physics. 20202020-12-16 14:58:26Neznano122927sl