Journal Article

FZJ-2024-07425

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin- 1 / 2 chains with different boundary conditions

Kraft, M. (Corresponding author) ; Richter, J. ; Jin, F.FZJ* ; Nandy, S.Extern* ; Herbrych, J.Extern* ; Michielsen, K.FZJ* ; De Raedt, H.FZJ* ; Gemmer, J. ; Steinigeweg, R.Extern*

2024
APS College Park, MD

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Please use a persistent id in citations: doi:10.1103/PhysRevResearch.6.023251  doi:10.34734/FZJ-2024-07425

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 et al., Phys. Rev. B 108, L201119 (2023)], 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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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. DFG project G:(GEPRIS)397107022 - Kombinationen gedämpfter harmonischen Oszillationen als stabile Bausteine von Autokorrelationsfunktionen in Quantenvielteilchensystemen (397107022) (397107022)
3. DFG project G:(GEPRIS)397300368 - Dekohärenz und Relaxation in Quantenspinclustern (397300368) (397300368)
4. DFG project G:(GEPRIS)397067869 - Nichtgleichgewichtsdynamik in 2D Clustern aus der Perspektive von Quantentypikalität und Eigenzustandsthermalisierung (397067869) (397067869)
5. DFG project G:(GEPRIS)355031190 - FOR 2692: Fundamental Aspects of Statistical Mechanics and the Emergence of Thermodynamics in Non-Equilibrium Systems (355031190) (355031190)

Appears in the scientific report 2024

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