Many-Body Localization Implies that Eigenvectors are Matrix-Product States.

@article{Friesdorf2015ManyBodyLI,
  title={Many-Body Localization Implies that Eigenvectors are Matrix-Product States.},
  author={Mathis Friesdorf and Albert H. Werner and William David Brown and Volkher B. Scholz and Jens Eisert},
  journal={Physical review letters},
  year={2015},
  volume={114 17},
  pages={
          170505
        }
}
The phenomenon of many-body localization has received a lot of attention recently, both for its implications in condensed-matter physics of allowing systems to be an insulator even at nonzero temperature as well as in the context of the foundations of quantum statistical mechanics, providing examples of systems showing the absence of thermalization following out-of-equilibrium dynamics. In this work, we establish a novel link between dynamical properties--a vanishing group velocity and the… 

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