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首页> 外文期刊>Physical review >Total correlations of the diagonal ensemble herald the many-body localization transition
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Total correlations of the diagonal ensemble herald the many-body localization transition

机译：对角合奏的整体相关性预示了多体定位过渡

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摘要

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 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. By a finite size scaling analysis of the peak position and crossover point from log to linear scaling we collect evidence that ergodicity is broken before the MBL transition in this model.
机译：最近，有趣的多体定位（MBL）现象引起了人们的极大兴趣，但是仍然缺乏完整的特征描述。在这项工作中，我们介绍了总相关性（一种从捕获多部分相关性的量子信息理论出发）的概念，以研究这种现象。我们证明对角线系综的总相关性提供了一种有意义的诊断工具，可用于确定，探测并更好地理解量子系统中的MBL跃迁和遍历性破坏。特别地，我们表明总相关性在离域遍历阶段中与系统大小具有亚线性相关性，而我们发现它在局部相中大规模扩展，在过渡时会产生明显的峰值。我们通过在无序域中对Heisenberg自旋链进行精确的对角化研究来例证我们方法的力量。通过对峰位置和从对数到线性标度的交叉点的有限大小标度分析，我们收集了在该模型中MBL转换之前遍历性已破裂的证据。

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  • 来源
    《Physical review》 |2015年第18期|180202.1-180202.5|共5页
  • 作者

    J. Goold; C. Gogolin; S. R. Clark; J. Eisert; A. Scardicchio; A. Suva;

  • 作者单位

    The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151 Trieste, Italy;

    ICFO-The Institute of Photonic Sciences, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain,Max-Planck-Institut fuer Quantenoptik, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany;

    Department of Physics, Oxford University, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, United Kingdom,Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom,Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany;

    Dahlem Center for Complex Quantum Systems, Freie Universitaet Berlin, 14195 Berlin, Germany;

    The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151 Trieste, Italy,INFN, Sezione di Trieste, Via Valerio 2, 34126 Trieste, Italy;

    The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151 Trieste, Italy,SISSA-International School for Advanced Studies, via Bonomea, 265, 34136 Trieste, Italy;

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  • 正文语种 eng
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  • 关键词

    quantum statistical mechanics; entanglement and quantum nonlocality (e.g. EPR paradox, bell's inequalities, GHZ states, etc.); broken symmetry phases; spin chain models;

    机译：量子统计力学;纠缠和量子非局部性（例如EPR悖论;贝尔不等式;GHZ状态等）;对称阶段破裂;自旋链模型;

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