Convergence radius of perturbative Lindblad-driven nonequilibrium steady states

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

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.

• Language: English
• Keywords: quantum mechanics, open systems, spin chains
• Work type: Scientific work
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Publisher: American Physical Society
• Year: 2017
• Number of pages: Str. 042137-1-042137-5
• Numbering: Vol. 95, iss. 4
• PID: 20.500.12556/RUL-94331
• UDC: 530.145
• ISSN on article: 2470-0045
• DOI: 10.1103/PhysRevE.95.042137
• COBISS.SI-ID: 3114852

Copyright

American Physical Society

• Publication date in RUL: 27.07.2017

Record is a part of a journal

• Title: Physical review
• Shortened title: Phys. rev., E
• Publisher: American Physical Society
• ISSN: 2470-0045
• COBISS.SI-ID: 2048366611

Secondary language

• Language: Slovenian
• Keywords: kvantna mehanika, odprti sistemi, spinske verige

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES