Quasi-sparse eigenvector diagonalization and stochastic error correction

Dean Lee (UMass Amherst)

Quasi-sparse eigenvector diagonalization and stochastic error correction

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arxiv cond-mat/0008457 v1 pith:ONWFDIPI submitted 2000-08-30 cond-mat hep-lathep-th

Dean Lee (UMass Amherst) This is my paper · ORCID

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keywords errorcorrectiondiagonalizationeigenvectorquasi-sparsestochasticbasisbriefly

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We briefly review the diagonalization of quantum Hamiltonians using the quasi-sparse eigenvector (QSE) method. We also introduce the technique of stochastic error correction, which systematically removes the truncation error of the QSE result by stochastically sampling the contribution of the remaining basis states.

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Systematic Improvement of Hamiltonian Truncation Effective Theory
hep-th 2025-07 conditional novelty 6.0 of 10

NLO matching corrections with nonlocal terms are computed for 1+1D λφ⁴ Hamiltonian truncation, and the eigenvalue error is shown to scale as 1/Emax⁴, confirming the effective theory power counting.

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