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

J. Goold, C. Gogolin, S. R. Clark, J. Eisert, A. Scardicchio, A. Silva

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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 multi-partite 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 sub-linear 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 the transition. We exemplify the power of our approach by means of an exact diagonalization study of a Heisenberg spin chain in a disordered field.
Original languageEnglish
Article number180202(R)
JournalPhysical Review B : Condensed Matter and Materials Physics
Volume92
Issue number18
DOIs
Publication statusPublished - 5 Nov 2015

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Information theory
information theory
probes

Keywords

  • cond-mat.dis-nn
  • quant-ph

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Total correlations of the diagonal ensemble herald the many-body localization transition. / Goold, J.; Gogolin, C.; Clark, S. R.; Eisert, J.; Scardicchio, A.; Silva, A.

In: Physical Review B : Condensed Matter and Materials Physics, Vol. 92, No. 18, 180202(R), 05.11.2015.

Research output: Contribution to journalArticle

Goold, J. ; Gogolin, C. ; Clark, S. R. ; Eisert, J. ; Scardicchio, A. ; Silva, A. / Total correlations of the diagonal ensemble herald the many-body localization transition. In: Physical Review B : Condensed Matter and Materials Physics. 2015 ; Vol. 92, No. 18.
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