Eigenvector Continuation and Projection-Based Emulators
Nuclear Theory
2024-08-15 v3 Quantum Gases
Numerical Analysis
Numerical Analysis
Nuclear Experiment
Quantum Physics
Abstract
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 article, we present the development, theory, and applications of eigenvector continuation and projection-based emulators. We introduce the basic concepts, discuss the underlying theory and convergence properties, and present recent applications for quantum systems and future prospects.
Keywords
Cite
@article{arxiv.2310.19419,
title = {Eigenvector Continuation and Projection-Based Emulators},
author = {Thomas Duguet and Andreas Ekström and Richard J. Furnstahl and Sebastian König and Dean Lee},
journal= {arXiv preprint arXiv:2310.19419},
year = {2024}
}
Comments
Final version to appear as colloquium article in Rev. Mod. Phys., 22 pages, 17 figures