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@ARTICLE{Heitmann:1018613,
      author       = {Heitmann, Tjark and Richter, Jonas and Jin, Fengping and
                      Nandy, Sourav and Lenarčič, Zala and Herbrych, Jacek and
                      Michielsen, Kristel and De Raedt, Hans and Gemmer, Jochen
                      and Steinigeweg, Robin},
      title        = {{S}pin- 1/2 {XXZ} chain coupled to two {L}indblad baths:
                      {C}onstructing nonequilibrium steady states from equilibrium
                      correlation functions},
      journal      = {Physical review / B},
      volume       = {108},
      number       = {20},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2023-04928},
      pages        = {L201119},
      year         = {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.},
      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
                      397107022 - Kombinationen gedämpfter harmonischen
                      Oszillationen als stabile Bausteine von
                      Autokorrelationsfunktionen in Quantenvielteilchensystemen
                      (397107022) / DFG project 397300368 - Dekohärenz und
                      Relaxation in Quantenspinclustern (397300368) / DFG project
                      397067869 - Nichtgleichgewichtsdynamik in 2D Clustern aus
                      der Perspektive von Quantentypikalität und
                      Eigenzustandsthermalisierung (397067869) / DFG project
                      456666331 - Massiv-paralleles CPU/GPU-Rechnersystem
                      (456666331)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)397107022 /
                      G:(GEPRIS)397300368 / G:(GEPRIS)397067869 /
                      G:(GEPRIS)456666331},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001141809600007},
      doi          = {10.1103/PhysRevB.108.L201119},
      url          = {https://juser.fz-juelich.de/record/1018613},
}