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@ARTICLE{Steinigeweg:172521,
      author       = {Steinigeweg, R. and Heidrich-Meisner, F. and Gemmer, J. and
                      Michielsen, K. and De Raedt, H.},
      title        = {{S}caling of diffusion constants in the spin-$\frac{1}{2}$
                      {XX} ladder},
      journal      = {Physical review / B},
      volume       = {90},
      number       = {9},
      issn         = {1098-0121},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2014-05986},
      pages        = {094417},
      year         = {2014},
      abstract     = {We study the dynamics of spin currents in the
                      spin-$\frac{1}{2}$ XX ladder at finite temperature. Within
                      linear response theory, we numerically calculate
                      autocorrelation functions for quantum systems larger than
                      what is accessible with exact diagonalization using the
                      concept of dynamical quantum typicality. While the spin
                      Drude weight vanishes exponentially quickly with increasing
                      system size, we show that this model realizes standard
                      diffusive dynamics. Moreover, we unveil the existence of
                      three qualitatively different dependencies of the
                      spin-diffusion coefficient on the rung-coupling strength,
                      resulting from a crossover from exponential to Gaussian
                      dissipation as the rung coupling increases, in agreement
                      with analytical predictions. We further discuss the
                      implications of our results for experiments with cold atomic
                      gases.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {411 - Computational Science and Mathematical Methods
                      (POF2-411)},
      pid          = {G:(DE-HGF)POF2-411},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000342496900002},
      doi          = {10.1103/PhysRevB.90.094417},
      url          = {https://juser.fz-juelich.de/record/172521},
}