Gutkin, BorisBorisGutkinBraun, PetrPetrBraunAkila, MaramMaramAkilaWaltner, DanielDanielWaltnerGuhr, ThomasThomasGuhr2022-03-062022-03-062020https://publica.fraunhofer.de/handle/publica/26563910.1103/PhysRevB.102.174307We show that local correlators in a wide class of kicked chains can be calculated exactly at light-cone edges. Extending previous works on circuit lattice systems, the correlators between local operators are expressed through the expectation values of transfer matrices T with small dimensions. For dual-unitary kicked chains, with spatial-temporal symmetry of the dynamics, this provides a full characterization of local correlators. Furthermore, we identify a remarkable family of dual-unitary models where an explicit information on the spectrum of T is available. For this class of models we provide a closed analytical formula for the corresponding two-point correlators. The results are exemplified on the kicked Ising spin chain model.en005530006629journal article