20.500.12556/RUL-106189 Integrable Trotterization: local conservation laws and boundary driving We discuss a general procedure to construct an integrable real–time trotterization of interacting lattice models. As an illustrative example we consider a spin-1/2 chain, with continuous time dynamics described by the isotropic (XXX) Heisenberg Hamiltonian. For periodic boundary conditions local conservation laws are derived from an inhomogeneous transfer matrix and a boost operator is constructed. In the continuous time limit these local charges reduce to the known integrals of motion of the Heisenberg chain. In a simple Kraus representation we also examine the nonequilibrium setting, where our integrable cellular automaton is driven by stochastic processes at the boundaries. We show explicitly, how an exact nonequilibrium steady state density matrix can be written in terms of a staggered matrix product ansatz. This simple trotterization scheme, in particular in the open system framework, could prove to be a useful tool for experimental simulations of the lattice models in terms of trapped ion and atom optics setups. quantum mechanics kvantna mehanika true false false Angleški jezik Slovenski jezik Neznano 2019-02-07 12:53:42 2019-02-07 12:53:43 2022-08-18 03:48:23 0000-00-00 00:00:00 2018 0 0 Str. 030606-1-030606-6 iss. 3 Vol. 121 2018 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 0031-9007 10.1103/PhysRevLett.121.030606 3289700 1282575 RAZ_Vanicat_Matthieu_i2018.pdf RAZ_Vanicat_Matthieu_i2018.pdf 1 8A9E541E983C81DBF2B97400F103387C f3decef5a0cb1f990307d694923784fb99135edf78d082f77a9e7553a3584088 4c7dd28f-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=116929 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.030606 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140319 Fakulteta za matematiko in fiziko 0 0 0