Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 023251 |
| Seitenumfang | 12 |
| Fachzeitschrift | Physical Review Research |
| Jahrgang | 6 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - 6 Juni 2024 |
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.
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in: Physical Review Research, Jahrgang 6, Nr. 2, 023251, 06.06.2024.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin- 1/2 chains with different boundary conditions
AU - Kraft, Markus
AU - Richter, Jonas
AU - Jin, Fengping
AU - Nandy, Sourav
AU - Herbrych, Jacek
AU - Michielsen, Kristel
AU - De Raedt, Hans
AU - Gemmer, Jochen
AU - Steinigeweg, Robin
N1 - Publisher Copyright: © 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
PY - 2024/6/6
Y1 - 2024/6/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85195255431&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2402.18177
DO - 10.48550/arXiv.2402.18177
M3 - Article
AN - SCOPUS:85195255431
VL - 6
JO - Physical Review Research
JF - Physical Review Research
SN - 2643-1564
IS - 2
M1 - 023251
ER -