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Entanglement as geometry and flow

机译:缠绕为几何和流量

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We explore the connection between the area law for entanglement and geometry by representing the entanglement entropies corresponding to all 2~N bipartitions of an N-party pure quantum system by means of a (generalized) adjacency matrix. In the cases where the representation is exact, the elements of that matrix coincide with the mutual information between pairs of sites. In others, it provides a very good approximation, and in all the cases it yields a natural entanglement contour which is similar to previous proposals. Moreover, for one-dimensional conformal invariant systems, the generalized adjacency matrix is given by the two-point correlator of an entanglement current operator. We conjecture how this entanglement current may give rise to a metric entirely built from entanglement.
机译:我们通过代表通过(广义)邻接矩阵来探讨与N党纯量子系统的所有2〜N个BIPARTITION相对应的缠结熵和几何之间的区域法之间的连接。在表示的情况下,该矩阵的元素与站点对之间的相互信息一致。在其他情况下,它提供了非常好的近似,并且在所有情况下,它产生了类似于先前的提案的自然纠缠轮廓。此外,对于一维共形不变系统,通过缠结电流运算符的两点相关器给出广义邻接矩阵。我们猜测这种纠缠电流可能会引起完全由纠缠构建的度量。

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  • 来源
    《Physical review》 |2020年第19期|195134.1-195134.12|共12页
  • 作者单位

    Instituto de Fisica Teorica UAM-CSIC Universidad Autonoma de Madrid Cantoblanco Madrid Spain;

    Departemento de Fisica and Grupo InterdiscipHnar de Sistemas Complejos (GISC) Universidad Carlos Ⅲ de Madrid Spain;

    Departemento de Fisica Fundamental UNED Madrid Spain;

    Departemento de Fisica Fundamental UNED Madrid Spain;

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