Vladislav Popkov (Author), Carlo Presilla (Author)

Abstract

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.

Keywords

kvantna mehanika;odprti kvantni sistemi;nelinearna dinamika;quantum mechanics;open quantum systems;nonlinear dynamics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 76234499 Link will open in a new window
ISSN: 0031-9007
Views: 193
Downloads: 65
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;odprti kvantni sistemi;nelinearna dinamika;
Pages: str. 190402-1-190402-6
Volume: ǂVol. ǂ126
Issue: ǂiss. ǂ19
Chronology: 2021
DOI: 10.1103/PhysRevLett.126.190402
ID: 13398453