Colloquium:Eigenvector continuation and projection-based emulators,Reviews of Modern Physics

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Colloquium:Eigenvector continuation and projection-based emulators
Reviews of Modern Physics ( IF 45.9 ) Pub Date : 2024-08-14 , DOI: 10.1103/revmodphys.96.031002
Thomas Duguet _{1,

2} , Andreas Ekström ₃ , Richard J. Furnstahl ₄ , Sebastian König ₅ , Dean Lee ₆

Affiliation

Eigenvector continuation is a computational method for parametric eigenvalue problems that uses subspace projection with a basis derived from eigenvector snapshots from different parameter sets. It is part of a broader class of subspace-projection techniques called reduced-basis methods. In this Colloquium, the development, theory, and applications of eigenvector continuation and projection-based emulators are presented. The basic concepts are introduced, the underlying theory and convergence properties are discussed, and recent applications for quantum systems and future prospects are presented.

中文翻译：

专题讨论会：基于特征向量延续和投影的仿真器

特征向量延拓是一种用于参数化特征值问题的计算方法，它使用子空间投影，其基是从不同参数集的特征向量快照中得出的。它是更广泛的子空间投影技术类别（称为简化基方法）的一部分。在本次研讨会中，介绍了特征向量延拓和基于投影的仿真器的发展、理论和应用。介绍了基本概念，讨论了基础理论和收敛特性，并介绍了量子系统的最新应用和未来前景。

更新日期：2024-08-14

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