Humberto C. F. Lemos (Author), Tomaž Prosen (Author)

Abstract

We address the problem of analyzing the radius of convergence of perturbative expansion of nonequilibrium steady states of Lindblad-driven spin chains. A simple formal approach is developed for systematically computing the perturbative expansion of small driven systems. We consider the paradigmatic model of an open XXZ spin-1/2 chain with boundary-supported ultralocal Lindblad dissipators and treat two different perturbative cases: (i) expansion in the system-bath coupling parameter and (ii) expansion in the driving (bias) parameter. In the first case (i) we find that the radius of convergence quickly shrinks with increasing the system size, while in the second case (ii) we find that the convergence radius is always larger than 1, and in particular it approaches 1 from above as we change the anisotropy from an easy-plane (XY) to an easy-axis (Ising) regime.

Keywords

kvantna mehanika;odprti sistemi;spinske verige;quantum mechanics;open systems;spin chains;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
Publisher: American Physical Society
UDC: 530.145
COBISS: 3114852 Link will open in a new window
ISSN: 2470-0045
Views: 1004
Downloads: 1011
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;odprti sistemi;spinske verige;
Type (COBISS): Scientific work
Pages: str. 042137-1-042137-5
Volume: ǂVol. ǂ95
Issue: ǂiss. ǂ4
Chronology: 2017
DOI: 10.1103/PhysRevE.95.042137
ID: 10850742