Full spectrum of the Liouvillian of open dissipative quantum systems in the Zeno limit

Popkov, Vladislav (author), Presilla, Carlo (author)

We consider an open quantum system with dissipation, described by a Lindblad Master equation (LME). For dissipation locally acting and sufficiently strong, a separation of the relaxation timescales occurs, which, in terms of the eigenvalues of the Liouvillian, implies a grouping of the latter in distinct vertical stripes in the complex plane at positions determined by the eigenvalues of the dissipator. We derive effective LME equations describing the modes within each stripe separately, and solve them perturbatively, obtaining for the full set of eigenvalues and eigenstates of the Liouvillian explicit expressions correct at order 1/Γ included, where Γ is the strength of the dissipation. As an example, we apply our general results to quantum XYZ spin chains coupled, at one boundary, to a dissipative bath of polarization.

• Language: English
• Keywords: quantum mechanics, open quantum systems, nonlinear dynamics
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2021
• Number of pages: Str. 190402-1-190402-6
• Numbering: Vol. 126, iss. 19
• PID: 20.500.12556/RUL-130373
• UDC: 530.145
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.126.190402
• COBISS.SI-ID: 76234499
• Publication date in RUL: 14.09.2021

POPKOV, Vladislav and PRESILLA, Carlo, 2021, Full spectrum of the Liouvillian of open dissipative quantum systems in the Zeno limit. Physical review letters [online]. 2021. Vol. 126, no. 19, p. 190402-1-190402–6. [Accessed 14 April 2025]. DOI 10.1103/PhysRevLett.126.190402. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=130373

Record is a part of a journal

• Title: Physical review letters
• Shortened title: Phys. rev. lett.
• Publisher: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Secondary language

• Language: Slovenian
• Keywords: kvantna mehanika, odprti kvantni sistemi, nelinearna dinamika

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open Many-body Non-Equilibrium Systems
• Acronym: OMNES