V2EX dmrg

DMRG

释义 Definition

DMRGdensity matrix renormalization group 的缩写,中文常译为密度矩阵重整化群。它是一种强大的数值方法,主要用于研究低维(尤其是一维)强关联量子多体系统的基态与低能激发性质(例如自旋链、Hubbard 模型等)。在现代计算物理中,DMRG 也常与矩阵乘积态(MPS)表述紧密相关。(在少数语境下也可能指其他缩写,但最常见的是上述物理学含义。)

发音 Pronunciation (IPA)

/dimrdi/

例句 Examples

DMRG is widely used for one-dimensional quantum systems.
DMRG 被广泛用于研究一维量子系统。

By combining DMRG with matrix product states, the team computed ground-state energies with high accuracy for a strongly correlated model.
通过将 DMRG 与矩阵乘积态结合,团队对一个强关联模型的基态能量进行了高精度计算。

词源 Etymology

DMRG 来自英文术语 Density Matrix Renormalization Group 的首字母缩写。该方法由物理学家 Steven R. White 在 1990 年代提出并发展,用“密度矩阵”的思想来选择最重要的自由度,从而有效压缩量子态的复杂度。

相关词 Related Words

文学与著名作品 Literary / Notable Works

  • Steven R. White, “Density matrix formulation for quantum renormalization groups”Physical Review Letters, 1992)
  • Steven R. White, “Density-matrix algorithms for quantum renormalization groups”Physical Review B, 1993)
  • Ulrich Schollwck, “The density-matrix renormalization group”Reviews of Modern Physics, 2005;以及后续综述版本)
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