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Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points

机译:一维量子临界点的有限缠结定标理论

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摘要

Studies of entanglement in many-particle systems suggest that most quantum critical ground states have infinitely more entanglement than noncritical states. Standard algorithms for one-dimensional systems construct model states with limited entanglement, which are a worse approximation to quantum critical states than to others. We give a quantitative theory of previously observed scaling behavior resulting from finite entanglement at quantum criticality. Finite-entanglement scaling in one-dimensional systems is governed not by the scaling dimension of an operator but by the "central charge" of the critical point. An important ingredient is the universal distribution of density-matrix eigenvalues at a critical point [P. Calabrese and A. Lefevre, Phys. Rev. A 78, 032329 (2008)]. The parameter-free theory is checked against numerical scaling at several quantum critical points.
机译:对多粒子系统中纠缠的研究表明,大多数量子临界基态比非临界态具有更多的纠缠。一维系统的标准算法构造了有限纠缠的模型状态,与量子临界状态相比,它们对量子临界状态的近似性更差。我们给出了定量观测到的量子理论,该定量理论是先前观察到的由量子纠缠中的有限纠缠引起的缩放行为。一维系统中的有限纠缠缩放不是由运算符的缩放维决定的,而是由临界点的“中心电荷”决定的。一个重要的因素是密度矩阵特征值在临界点的普遍分布[P。 Calabrese和A. Lefevre,物理学。 Rev A A 78,032329(2008)]。无参数理论是在几个量子临界点上对数值缩放进行检查的。

著录项

  • 来源
    《Physical review letters》 |2009年第25期|255701.1-255701.4|共4页
  • 作者单位

    Department of Physics, University of California, Berkeley, California 94720, USA;

    Department of Physics, University of California, Berkeley, California 94720, USA Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA;

    Department of Physics, University of California, Berkeley, California 94720, USA;

    Department of Physics, University of California, Berkeley, California 94720, USA Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    entanglement production; characterization; and manipulation; spin chain models;

    机译:纠缠生产;表征;和操纵;自旋链模型;

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