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Exact local correlations in kicked chains

: Gutkin, Boris; Braun, Petr; Akila, Maram; Waltner, Daniel; Guhr, Thomas


Physical Review. B 102 (2020), Nr.17, Art. 174307, 10 S.
ISSN: 0163-1829
ISSN: 1098-0121
ISSN: 0556-2805
ISSN: 2469-9950
ISSN: 2469-9969
Fraunhofer IAIS ()

We 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.