Convergence radius of perturbative Lindblad-driven nonequilibrium steady states
Lemos, Humberto C. F. (Author), Prosen, Tomaž (Author)

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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:quantum mechanics, open systems, spin chains
Work type:Scientific work (r2)
Tipology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publisher:American Physical Society
Number of pages:Str. 042137-1-042137-5
Numbering:Vol. 95, iss. 4
ISSN on article:2470-0045
DOI:10.1103/PhysRevE.95.042137 This link opens in a new window
COBISS.SI-ID:3114852 This link opens in a new window
Copyright:American Physical Society
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Record is a part of a journal

Title:Physical review
Shortened title:Phys. rev., E
Publisher:American Physical Society
COBISS.SI-ID:2048366611 This link opens in a new window

Document is financed by a project

Funder:EC - European Commission
Funding Programme:H2020
Project no.:694544
Name:Open many-body non-equilibrium systems

Secondary language

Keywords:kvantna mehanika, odprti sistemi, spinske verige

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