20.500.12556/RUL-117817 Inhomogeneous matrix product ansatz and exact steady states of boundary-driven spin chains at large dissipation We find novel site-dependent Lax operators in terms of which we demonstrate exact solvability of a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation, with jump operators polarizing the boundary spins in arbitrary directions. We write the corresponding nonequilibrium steady state using an inhomogeneous matrix product ansatz, where the constituent matrices satisfy a simple set of linear recurrence relations. Although these matrices can be embedded into an infinite-dimensional auxiliary space, we have verified that they cannot be simultaneously put into a tridiagonal form, not even in the case of axially symmetric (XXZ) bulk interactions and general nonlongitudinal boundary dissipation. We expect our results to have further fundamental applications for the construction of nonlocal integrals of motion for the open XYZ model with arbitrary boundary fields, or the eight-vertex model. statistical physics open quantum systems quantum spin chains statistična fizika odprti kvantni sistemi kvantne spinske verige true false false Angleški jezik Slovenski jezik Neznano 2020-07-28 10:02:29 2020-07-28 10:02:30 2022-08-30 04:00:24 0000-00-00 00:00:00 2020 0 0 Str. 042122-1-042122-10 iss. 4 Vol. 101 2020 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2470-0045 10.1103/PhysRevE.101.042122 23761667 2048366611 RAZ_Popkov_Vladislav_2020.pdf RAZ_Popkov_Vladislav_2020.pdf 1 5D034C9006DCC4A4A9C1A3A64449D1D7 a2551b3fb48c0d309736824419876b07c1e6ae4a12a4eb497b49b42f236a2223 44ffcc11-a1b9-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=131720 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.042122 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140295 Fakulteta za matematiko in fiziko 0 0 0