20.500.12556/RUL-122927 Integrable matrix models in discrete space-time We 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. dynamical systems theoretical physics dinamični sistemi teoretična fizika true false false Angleški jezik Slovenski jezik Neznano 2020-12-16 14:58:26 2020-12-16 14:58:26 2022-09-03 04:10:23 0000-00-00 00:00:00 2020 0 0 56 str. art. no. 038 Vol. 9 Sep. 2020 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 53 2542-4653 10.21468/SciPostPhys.9.3.038 42806787 526154521 RAZ_Krajnik_Ziga_2020.pdf RAZ_Krajnik_Ziga_2020.pdf 1 3F62B2F4AB074905D5EEFD93CE5737D5 1a7d335e441c2fb18a03f0758408226dc621d10082031d78d2509338721ba97c 21f4adaf-a1bb-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=138177 https://scipost.org/10.21468/SciPostPhys.9.3.038 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140143 Fakulteta za matematiko in fiziko 0 0 0