关联量子系统的标度重整化矩阵积态

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摘要翻译：
引入了矩阵积态(MPS)的推广，它适用于描述二维和三维相互作用量子系统。这些尺度重整化矩阵积状态（SR-MPS）基于格子的过程粒化，其中每一层的块与矩阵积相关联，这些矩阵积在它们被组装形成下一层的块之前与其他矩阵进一步变换（尺度重整化）。通过对二维横场Ising模型的变分Monte Carlo模拟，表明SR-MPS比标准MPS收敛速度快得多。格对称的使用大大加快了收敛速度。
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英文标题：
《Scale-renormalized matrix-product states for correlated quantum systems》
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作者：
Anders W. Sandvik
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Strongly Correlated Electrons        强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  A generalization of matrix product states (MPS) is introduced which is suitable for describing interacting quantum systems in two and three dimensions. These scale-renormalized matrix-product states (SR-MPS) are based on a course-graining of the lattice in which the blocks at each level are associated with matrix products that are further transformed (scale renormalized) with other matrices before they are assembled to form blocks at the next level. Using variational Monte Carlo simulations of the two-dimensional transverse-field Ising model as a test, it is shown that the SR-MPS converge much more rapidly with the matrix size than a standard MPS. It is also shown that the use of lattice-symmetries speeds up the convergence very significantly.
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PDF链接：
https://arxiv.org/pdf/710.3362

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关键词：子系统 Monte Carlo Transitions Dimensional equilibrium Ising 横场 states blocks scale