Gumbel statistics for entanglement spectra of many-body localized eigenstates
Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov
Published: 2019/7/26
Abstract
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.