哈密顿重构：相关矩阵和不完全算子基

IF 3.7 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review B Pub Date : 2024-09-09 DOI:10.1103/physrevb.110.125118

Lucas Z. Brito, Stephen Carr, J. Alexander Jacoby, J. B. Marston

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引用次数: 0

摘要

我们探讨了相关矩阵哈密顿重构技术在选择算子基础方面的稳健性，研究了基础不完全和过度不完全--分别是算子太少或太多--的影响。我们提出了使用不完全基础进行重构的近似方案，并在选定模型上进行了数值测试。我们讨论了守恒量和对称性对重构尝试的干扰效应。我们将这些考虑因素应用于零温度和非零温度下的各种一维系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Hamiltonian reconstruction: The correlation matrix and incomplete operator bases

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Hamiltonian reconstruction: The correlation matrix and incomplete operator bases

We explore the robustness of the correlation matrix Hamiltonian reconstruction technique with respect to the choice of operator basis, studying the effects of bases that are undercomplete and overcomplete—too few or too many operators, respectively. An approximation scheme for reconstruction using an undercomplete basis is proposed and tested numerically on select models. We discuss the confounding effects of conserved quantities and symmetries on reconstruction attempts. We apply these considerations to a variety of one-dimensional systems at zero and nonzero temperature.

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来源期刊

Physical Review B 物理-物理：凝聚态物理

CiteScore

6.70

自引率

32.40%

发文量

审稿时长

3.0 months

期刊介绍： Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter