Research

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


Reference:

Goold, J., Gogolin, C., Clark, S. R., Eisert, J., Scardicchio, A. and Silva, A., 2015. Total correlations of the diagonal ensemble herald the many-body localization transition. Physical Review B : Condensed Matter and Materials Physics, 92 (18), 180202(R).

Related documents:

[img]
Preview
PDF (PhysRevB.92.180202) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (214kB) | Preview

    Official URL:

    http://dx.doi.org/10.1103/PhysRevB.92.180202

    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.

    Details

    Item Type Articles
    CreatorsGoold, J., Gogolin, C., Clark, S. R., Eisert, J., Scardicchio, A. and Silva, A.
    DOI10.1103/PhysRevB.92.180202
    Uncontrolled Keywordscond-mat.dis-nn,quant-ph
    DepartmentsFaculty of Science > Physics
    RefereedYes
    StatusPublished
    ID Code48480
    Additional InformationClose to published version

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...