20.500.12556/RUL-124029 Dissipative generation of pure steady states and a gambler's ruin problem We consider an open quantum system, with dissipation applied only to a part of its degrees of freedom, evolving via a quantum Markov dynamics. We demonstrate that, in the Zeno regime of large dissipation, the relaxation of the quantum system towards a pure quantum state is linked to the evolution of a classical Markov process towards a single absorbing state. The rates of the associated classical Markov process are determined by the original quantum dynamics. Extension of this correspondence to absorbing states with internal structure allows us to establish a general criterion for having a Zeno-limit nonequilibrium stationary state of arbitrary finite rank. An application of this criterion is illustrated in the case of an open XXZ spin-1/2 chain dissipatively coupled at its edges to baths with fixed and different polarizations. For this system, we find exact nonequilibrium steady-state solutions of ranks 1 and 2. quantum mechanics open quantum systems Markov processes kvantna mehanika odprti kvantni sistemi markovski procesi true false false Angleški jezik Slovenski jezik Neznano 2020-12-21 12:23:07 2020-12-21 12:23:07 2022-09-04 03:57:13 0000-00-00 00:00:00 2020 0 0 Str. 032205-1-032205-7 iss. 3 Vol. 102 2020 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2469-9926 10.1103/PhysRevA.102.032205 43012099 2996836 RAZ_Popkov_Vladislav_2020.pdf RAZ_Popkov_Vladislav_2020.pdf 1 B4B8858BE2792C4837D0C3AF1D6965CF 1f7b28595be36f7d32f6fb4069deadd1ef9a62269eee2806a8e2efc4210de40b 752825bc-a1bb-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=139408 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.032205 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140134 Fakulteta za matematiko in fiziko 0 0 0