捆绑矩阵乘积态忠实地代表了低能激发

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
Thomas E Baker and Negar Seif
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引用次数: 0

摘要

我们考虑一组密度矩阵。所有密度矩阵都是用相同的轨道基写成的,但轨道基的大小小于希尔伯特空间的总大小。我们根据一小组轨道的部分迹线的截断误差,建立了密度矩阵之间的规范,以此来探讨每个密度矩阵与其他密度矩阵之间的关系。我们发现,能量差异大的态,其密度矩阵的差异也一定大。小能量差异分为两类,一类是两个密度矩阵差异较小,另一类是两个密度矩阵差异很大,如对称性的情况。我们将这些观点扩展到矩阵乘积态束,并证明能量差异较大的两个态的波函数解析的键维度较大。同时,能量差异小的相似态的键维度几乎相同。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bundled matrix product states represent low-energy excitations faithfully
We consider a set of density matrices. All of which are written in the same orbital basis, but the orbital basis size is less than the total Hilbert space size. We ask how each density matrix is related to each of the others by establishing a norm between density matrices based on the truncation error in a partial trace for a small set of orbitals. We find that states with large energy differences must have large differences in their density matrices. Small energy differences are divided into two groups, one where two density matrices have small differences and another where they are very different, as is the case of symmetry. We extend these ideas to a bundle of matrix product states and show that bond dimension of the wavefunction ansatz for two states with large energy differences are larger. Meanwhile, low energy differences can have nearly the same bond dimensions for similar states.
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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