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@ARTICLE{Goold:301790,
      author       = {Goold, J. and Gogolin, C. and Clark, S. R. and Eisert, J.
                      and Scardicchio, A. and Silva, A.},
      title        = {{T}otal correlations of the diagonal ensemble herald the
                      many-body localization transition},
      journal      = {Physical review / B},
      volume       = {92},
      number       = {18},
      issn         = {1098-0121},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PUBDB-2016-02859},
      pages        = {180202},
      year         = {2015},
      abstract     = {The intriguing phenomenon of many-body localization (MBL)
                      has attracted significant interest recently, but a complete
                      characterization is still lacking. In this work we introduce
                      the total correlations, a concept from quantum information
                      theory capturing multipartite correlations, to the study of
                      this phenomenon. We demonstrate that the total correlations
                      of the diagonal ensemble provides a meaningful diagnostic
                      tool to pin-down, probe, and better understand the MBL
                      transition and ergodicity breaking in quantum systems. In
                      particular, we show that the total correlations has
                      sublinear dependence on the system size in delocalized,
                      ergodic phases, whereas we find that it scales extensively
                      in the localized phase developing a pronounced peak at the
                      transition. We exemplify the power of our approach by means
                      of an exact diagonalization study of a Heisenberg spin chain
                      in a disordered field. By a finite size scaling analysis of
                      the peak position and crossover point from log to linear
                      scaling we collect evidence that ergodicity is broken before
                      the MBL transition in this model.},
      cin          = {MPSD},
      ddc          = {530},
      cid          = {I:(DE-H253)MPSD-20120731},
      pnm          = {899 - ohne Topic (POF3-899) / SIQS - Simulators and
                      Interfaces with Quantum Systems (600645) / RAQUEL -
                      Randomness and Quantum Entanglement (323970) / AQuS - Analog
                      quantum simulators for many-body dynamics (640800) / TAQ -
                      Taming non-equilibrium quantum systems (307498) / Q-MAC -
                      Frontiers in Quantum Materials Control (319286)},
      pid          = {G:(DE-HGF)POF3-899 / G:(EU-Grant)600645 /
                      G:(EU-Grant)323970 / G:(EU-Grant)640800 / G:(EU-Grant)307498
                      / G:(EU-Grant)319286},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000364158900001},
      doi          = {10.1103/PhysRevB.92.180202},
      url          = {https://bib-pubdb1.desy.de/record/301790},
}