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@ARTICLE{Schubert:904519,
      author       = {Schubert, Dennis and Richter, Jonas and Jin, Fengping and
                      Michielsen, Kristel and De Raedt, Hans and Steinigeweg,
                      Robin},
      title        = {{Q}uantum versus classical dynamics in spin models:
                      {C}hains, ladders, and square lattices},
      journal      = {Physical review / B},
      volume       = {104},
      number       = {5},
      issn         = {1098-0121},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2021-06089},
      pages        = {054415},
      year         = {2021},
      abstract     = {We present a comprehensive comparison of spin and energy
                      dynamics in quantum and classical spin models on different
                      geometries, ranging from one-dimensional chains, over
                      quasi-one-dimensional ladders, to two-dimensional square
                      lattices. Focusing on dynamics at formally infinite
                      temperature, we particularly consider the autocorrelation
                      functions of local densities, where the time evolution is
                      governed either by the linear Schrödinger equation in the
                      quantum case or the nonlinear Hamiltonian equations of
                      motion in the case of classical mechanics. While, in full
                      generality, a quantitative agreement between quantum and
                      classical dynamics can therefore not be expected, our
                      large-scale numerical results for spin-1/2 systems with up
                      to N=36 lattice sites in fact defy this expectation.
                      Specifically, we observe a remarkably good agreement for all
                      geometries, which is best for the nonintegrable quantum
                      models in quasi-one or two dimensions, but still
                      satisfactory in the case of integrable chains, at least if
                      transport properties are not dominated by the extensive
                      number of conservation laws. Our findings indicate that
                      classical or semiclassical simulations provide a meaningful
                      strategy to analyze the dynamics of quantum many-body
                      models, even in cases where the spin quantum number S=1/2 is
                      small and far away from the classical limit S→∞.},
      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)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000684123200001},
      doi          = {10.1103/PhysRevB.104.054415},
      url          = {https://juser.fz-juelich.de/record/904519},
}