Vladislav Popkov (Author), Simon Essink (Author), Corinna Kollath (Author), Carlo Presilla (Author)

Abstract

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.

Keywords

kvantna mehanika;odprti kvantni sistemi;markovski procesi;quantum mechanics;open quantum systems;Markov processes;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 43012099 Link will open in a new window
ISSN: 2469-9926
Views: 285
Downloads: 254
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;odprti kvantni sistemi;markovski procesi;
Pages: str. 032205-1-032205-7
Volume: ǂVol. ǂ102
Issue: ǂiss. ǂ3
Chronology: 2020
DOI: 10.1103/PhysRevA.102.032205
ID: 12345754