Total correlations of the diagonal ensemble herald the many-body localization transition

  • Goold, J.
  • Gogolin, Christian
  • Clark, S. R.
  • Eisert, Jens
  • Scardicchio, A.
  • Silva, A.
Publication date
January 2015

Abstract

The intriguing phenomenon of many-body localization (MBL) has attracted significant interest recently, but a complete characterization is still lacking. In this work we introduce the total correlations, a concept from quantum information theory capturing multipartite correlations, to the study of this phenomenon. We demonstrate that the total correlations of the diagonal ensemble provides a meaningful diagnostic tool to pin-down, probe, and better understand the MBL transition and ergodicity breaking in quantum systems. In particular, we show that the total correlations has sublinear dependence on the system size in delocalized, ergodic phases, whereas we find that it scales extensively in the localized phase developing a pronounced peak at...

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