20.500.12556/RUL-113026 Exact correlation functions for dual-unitary lattice models in 1 + 1 dimensions We consider a class of quantum lattice models in 1 + 1 dimensions represented as local quantum circuits that enjoy a particular dual-unitarity property. In essence, this property ensures that both the evolution in time and that in space are given in terms of unitary transfer matrices. We show that for this class of circuits, generically nonintegrable, one can compute explicitly all dynamical correlations of local observables. Our result is exact, nonpertubative, and holds for any dimension d of the local Hilbert space. In the minimal case of qubits (d=2) we also present a classification of all dual-unitary circuits which allows us to single out a number of distinct classes for the behavior of the dynamical correlations. We find noninteracting classes, where all correlations are preserved, the ergodic and mixing one, where all correlations decay, and, interestingly, also classes that are both interacting and nonergodic. quantum statistical mechanics kvantna statistična mehanika true false false Angleški jezik Slovenski jezik Neznano 2019-11-29 12:15:39 2019-11-29 12:15:40 2022-08-25 03:52:20 0000-00-00 00:00:00 2019 0 0 Str. 210601-1-210601-6 iss. 21 Vol. 123 2019 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.93 0031-9007 10.1103/PhysRevLett.123.210601 3389028 1282575 RAZ_Bertini_Bruno_2019.pdf RAZ_Bertini_Bruno_2019.pdf 1 8ECC44B3216717D63DF2FD1368FAF23E 74d5080a91be7096ea5402bec859b07ac26e5913c745ef056a1643a5ee32401e 020316b9-a1b8-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=124981 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.210601 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140303 Fakulteta za matematiko in fiziko 0 0 0