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Eigenvector Continuation and Projection-Based Emulators

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arxiv 2310.19419 v3 pith:L5WHQXT7 submitted 2023-10-30 nucl-th cond-mat.quant-gascs.NAmath.NAnucl-exquant-ph

Eigenvector Continuation and Projection-Based Emulators

classification nucl-th cond-mat.quant-gascs.NAmath.NAnucl-exquant-ph
keywords eigenvectorcontinuationapplicationsemulatorsprojection-basedtheoryarticlebasic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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