Entanglement critical length at the many-body localization transition

@article{Pietracaprina2016EntanglementCL,
  title={Entanglement critical length at the many-body localization transition},
  author={Francesca Pietracaprina and Giorgio Parisi and Angelo Mariano and Saverio Pascazio and Antonello Scardicchio},
  journal={arXiv: Disordered Systems and Neural Networks},
  year={2016}
}
We study the details of the distribution of the entanglement spectrum (eigenvalues of the reduced density matrix) of a disordered spin chain exhibiting a many-body localization (MBL) transition. In the thermalizing region we identify the evolution under increasing system size of the eigenvalues distribution function, whose thermodynamic limit is close (but possibly different from) the Marchenko-Pastur distribution. From the analysis we extract a correlation length $L_s(h)$ determining the… 

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