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Variational matrix product ansatz for dispersion relations

机译:色散关系的变分矩阵乘积ansatz

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摘要

A variational ansatz for momentum eigenstates of translation-invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation (cubic scaling in the bond dimension) of the variational principle. Unlike previous approaches, the ansatz includes topologically nontrivial states (kinks, domain walls) for systems with symmetry breaking. The method is benchmarked using the spin-2/1 XXZ antiferromagnet and the spin-1 Heisenberg antiferromagnet, and we obtain surprisingly accurate results.
机译:提出了平移不变量子自旋链动量本征态的变质ansatz。矩阵乘积状态ansatz直接在热力学极限中起作用,并允许变分原理的有效实现(键尺寸上的立方缩放)。与以前的方法不同,ansatz包含具有对称破坏系统的拓扑非平凡状态(扭结,畴壁)。该方法使用了spin-2 / 1 XXZ反铁磁体和spin-1海森堡反铁磁体进行了基准测试,我们获得了令人惊讶的准确结果。

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  • 来源
    《Physical review》 |2012年第10期|p.100408.1-100408.5|共5页
  • 作者单位

    Ghent University, Department of Physics and Astronomy, Krijgslaan 28I-S9, B-9000 Ghent, Belgium;

    University of Vienna, Faculty of Physics, Boltzmanngasse 5, A-I090 Wien, Austria;

    Theoretical Physics Group, Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom;

    Max-Planck-Institut fur Quantenoptik, Hans-Kopfermann-Strasse I, Garching D-85748, Germany;

    Leibniz Universitdt Hannover, Institute of Theoretical Physics, Appelstrasse 2, D-30167 Hannover, Germany;

    Ghent University, Department of Physics and Astronomy, Krijgslaan 28I-S9, B-9000 Ghent, Belgium;

    University of Vienna, Faculty of Physics, Boltzmanngasse 5, A-I090 Wien, Austria,C. N. Yang Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840, USA;

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

    quantized spin models; renormalization group methods; numerical simulation studies;

    机译:量化自旋模型重归一化组方法;数值模拟研究;

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