Gumbel statistics for entanglement spectra of many-body localized eigenstates

Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


An entanglement spectrum encodes statistics beyond the entanglement entropy, of which several have been studied in the context of many-body localization. We numerically study the extreme value statistics of entanglement spectra of many-body localized eigenstates. The physical information encoded in these spectra is almost fully carried by the few smallest elements, suggesting the extreme value statistics to have physical significance. We report the surprising observation of Gumbel statistics. Our result provides an analytical, parameter-free characterization of many-body localized eigenstates.

Original languageEnglish
Article number205110
JournalPhysical Review B
Issue number20
StatePublished - 8 Nov 2019
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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