Spectral statistics across the many-body localization transition

@article{Serbyn2016SpectralSA,
  title={Spectral statistics across the many-body localization transition},
  author={Maksym Serbyn and Joel E Moore},
  journal={Physical Review B},
  year={2016},
  volume={93},
  pages={041424}
}
The many-body localization transition (MBLT) between ergodic and many-body localized phases in disordered interacting systems is a subject of much recent interest. The statistics of eigenenergies is known to be a powerful probe of crossovers between ergodic and integrable systems in simpler examples of quantum chaos. We consider the evolution of the spectral statistics across the MBLT, starting with mapping to a Brownian motion process that analytically relates the spectral properties to the… Expand

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