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@ARTICLE{Kraft:1034666,
      author       = {Kraft, Markus and Richter, Jonas and Jin, Fengping and
                      Nandy, Sourav and Herbrych, Jacek and Michielsen, Kristel
                      and De Raedt, Hans and Gemmer, Jochen and Steinigeweg,
                      Robin},
      title        = {{L}indblad dynamics from spatio-temporal correlation
                      functions in nonintegrable spin- 1 / 2 chains with different
                      boundary conditions},
      journal      = {Physical review research},
      volume       = {6},
      number       = {2},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2024-07425},
      pages        = {023251},
      year         = {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
                      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.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / DFG project
                      G:(GEPRIS)397107022 - Kombinationen gedämpfter harmonischen
                      Oszillationen als stabile Bausteine von
                      Autokorrelationsfunktionen in Quantenvielteilchensystemen
                      (397107022) / DFG project G:(GEPRIS)397300368 - Dekohärenz
                      und Relaxation in Quantenspinclustern (397300368) / DFG
                      project G:(GEPRIS)397067869 - Nichtgleichgewichtsdynamik in
                      2D Clustern aus der Perspektive von Quantentypikalität und
                      Eigenzustandsthermalisierung (397067869) / DFG project
                      G:(GEPRIS)355031190 - FOR 2692: Fundamental Aspects of
                      Statistical Mechanics and the Emergence of Thermodynamics in
                      Non-Equilibrium Systems (355031190)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)397107022 /
                      G:(GEPRIS)397300368 / G:(GEPRIS)397067869 /
                      G:(GEPRIS)355031190},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001240632500002},
      doi          = {10.1103/PhysRevResearch.6.023251},
      url          = {https://juser.fz-juelich.de/record/1034666},
}