Details
| Original language | English |
|---|---|
| Article number | L201119 |
| Number of pages | 7 |
| Journal | Physical Review B |
| Volume | 108 |
| Issue number | 20 |
| Publication status | Published - 27 Nov 2023 |
Abstract
State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or (ii) they consider an open-system situation typically modeled by a Lindblad equation, where a nonequilibrium steady state emerges from driving the system at its boundaries. While quantitative agreement between (i) and (ii) has been found for selected model and parameter choices, also disagreement has been pointed out in the literature. Studying magnetization transport in the spin-1/2 XXZ chain, we here demonstrate that at weak driving, the nonequilibrium steady state in an open system, including its buildup in time, can remarkably be constructed just on the basis of correlation functions in the closed system. We numerically illustrate this direct correspondence of closed-system and open-system dynamics, and show that it allows the treatment of comparatively large open systems, usually only accessible to matrix product state simulations. We also point out potential pitfalls when extracting transport coefficients from nonequilibrium steady states in finite systems.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 108, No. 20, L201119, 27.11.2023.
Research output: Contribution to journal › Letter › Research › peer review
}
TY - JOUR
T1 - Spin- 1/2 XXZ chain coupled to two Lindblad baths
T2 - Constructing nonequilibrium steady states from equilibrium correlation functions
AU - Heitmann, Tjark
AU - Richter, Jonas
AU - Jin, Fengping
AU - Nandy, Sourav
AU - Lenarčič, Zala
AU - Herbrych, Jacek
AU - Michielsen, Kristel
AU - De Raedt, Hans
AU - Gemmer, Jochen
AU - Steinigeweg, Robin
N1 - Funding Information: Acknowledgments. We sincerely thank J. Wang for fruitful discussions. Our research has been funded by the Deutsche Forschungsgemeinschaft (DFG), Projects No. 397107022 (GE 1657/3-2), No. 397300368 (MI 1772/4-2), and No. 397067869 (STE 2243/3-2), within DFG Research Unit FOR 2692, Grant no. 355031190. J.R. acknowledges funding from the European Union's Horizon Europe research and innovation programme, Marie Skłodowska-Curie Grant No. 101060162, and the Packard Foundation through a Packard Fellowship in Science and Engineering. We gratefully acknowledge the Gauss Centre for Supercomputing e.V. for funding this project by providing computing time on the GCS Supercomputer JUWELS at Jülich Supercomputing Centre (JSC). Z.L. and S.N. acknowledge support by Projects No. J1-2463 and No. P1-0044 program of the Slovenian Research Agency, EU via QuantERA grant T-NiSQ, and also computing time for the TEBD calculations at the supercomputer Vega at the Institute of Information Science (IZUM) in Maribor, Slovenia. We also acknowledge computing time at the HPC3 at University Osnabrück, which has been funded by the DFG, Grant No. 456666331.
PY - 2023/11/27
Y1 - 2023/11/27
N2 - State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or (ii) they consider an open-system situation typically modeled by a Lindblad equation, where a nonequilibrium steady state emerges from driving the system at its boundaries. While quantitative agreement between (i) and (ii) has been found for selected model and parameter choices, also disagreement has been pointed out in the literature. Studying magnetization transport in the spin-1/2 XXZ chain, we here demonstrate that at weak driving, the nonequilibrium steady state in an open system, including its buildup in time, can remarkably be constructed just on the basis of correlation functions in the closed system. We numerically illustrate this direct correspondence of closed-system and open-system dynamics, and show that it allows the treatment of comparatively large open systems, usually only accessible to matrix product state simulations. We also point out potential pitfalls when extracting transport coefficients from nonequilibrium steady states in finite systems.
AB - State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or (ii) they consider an open-system situation typically modeled by a Lindblad equation, where a nonequilibrium steady state emerges from driving the system at its boundaries. While quantitative agreement between (i) and (ii) has been found for selected model and parameter choices, also disagreement has been pointed out in the literature. Studying magnetization transport in the spin-1/2 XXZ chain, we here demonstrate that at weak driving, the nonequilibrium steady state in an open system, including its buildup in time, can remarkably be constructed just on the basis of correlation functions in the closed system. We numerically illustrate this direct correspondence of closed-system and open-system dynamics, and show that it allows the treatment of comparatively large open systems, usually only accessible to matrix product state simulations. We also point out potential pitfalls when extracting transport coefficients from nonequilibrium steady states in finite systems.
UR - http://www.scopus.com/inward/record.url?scp=85179547729&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2303.00430
DO - 10.48550/arXiv.2303.00430
M3 - Letter
AN - SCOPUS:85179547729
VL - 108
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 20
M1 - L201119
ER -