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@ARTICLE{Bauls:209417,
      author       = {Bañuls, M. C. and Cichy, K. and Cirac, J. I. and Jansen,
                      K. and Saito, H.},
      title        = {{T}hermal evolution of the {S}chwinger model with {M}atrix
                      {P}roduct {O}perators},
      reportid     = {PUBDB-2015-02073, DESY-15-060. SFB-CPP-14-125.
                      arXiv:1505.00279},
      year         = {2015},
      note         = {OA},
      abstract     = {We demonstrate the suitability of tensor network techniques
                      for describing the thermal evolution of lattice gauge
                      theories. As a benchmark case, we have studied the
                      temperature dependence of the chiral condensate in the
                      Schwinger model, using matrix product operators to
                      approximate the thermal equilibrium states for finite system
                      sizes with non-zero lattice spacings. We show how these
                      techniques allow for reliable extrapolations in bond
                      dimension, step width, system size and lattice spacing, and
                      for a systematic estimation and control of all error sources
                      involved in the calculation. The reached values of the
                      lattice spacing are small enough to capture the most
                      challenging region of high temperatures and the final
                      results are consistent with the analytical prediction by
                      Sachs and Wipf over a broad temperature range.},
      cin          = {ZEU-NIC},
      cid          = {I:(DE-H253)ZEU-NIC-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611) / SIQS -
                      Simulators and Interfaces with Quantum Systems (600645)},
      pid          = {G:(DE-HGF)POF3-611 / G:(EU-Grant)600645},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)29},
      eprint       = {1505.00279},
      howpublished = {arXiv:1505.00279},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1505.00279;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/209417},
}