Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin- 1/2 chains with different boundary conditions

verfasst von

Markus Kraft, Jonas Richter, Fengping Jin, Sourav Nandy, Jacek Herbrych, Kristel Michielsen, Hans De Raedt, Jochen Gemmer, Robin Steinigeweg

Abstract

We investigate the Lindblad equation in the context of boundary-driven magnetization transport in spin-1/2 chains. Our central question is whether the nonequilibrium steady state of the open system, including its buildup in time, can be described on the basis of the dynamics in the closed system. To this end, we rely on a previous study [Heitmann, Phys. Rev. B 108, L201119 (2023)2469-995010.1103/PhysRevB.108.L201119], in which a description in terms of spatio-temporal correlation functions was suggested in the case of weak driving and small system-bath coupling. Because this work focused on integrable systems and periodic boundary conditions, we here extend the analysis in three directions: (1) We consider nonintegrable systems, (2) we take into account open boundary conditions and other bath-coupling geometries, and (3) we provide a comparison to time-evolving block decimation. While we find that nonintegrability plays a minor role, the choice of the specific boundary conditions can be crucial due to potentially nondecaying edge modes. Our large-scale numerical simulations suggest that a description based on closed-system correlation functions is a useful alternative to already existing state-of-the-art approaches.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

Universität Osnabrück
Stanford University
Forschungszentrum Jülich
Institut "Jožef Stefan" (IJS)
Wroclaw University of Technology
Reichsuniversität Groningen

Typ

Artikel

Journal

Physical Review Research

Band

6

Anzahl der Seiten

12

ISSN

2643-1564

Publikationsdatum

06.06.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Physik und Astronomie (insg.)

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2402.18177 (Zugang: Offen)
https://doi.org/10.1103/PhysRevResearch.6.023251 (Zugang: Offen)