Improved many-body expansions from eigenvector continuation
Journal article, 2020

Quantum many-body theory has witnessed tremendous progress in various fields, ranging from atomic and solid-state physics to quantum chemistry and nuclear structure. Due to the inherent computational burden linked to the ab initio treatment of microscopic fermionic systems, it is desirable to obtain accurate results through low-order perturbation theory. In atomic nuclei, however, effects such as strong short-range repulsion between nucleons can spoil the convergence of the expansion and make the reliability of perturbation theory unclear. Mathematicians have devised an extensive machinery to overcome the problem of divergent expansions by making use of so-called resummation methods. In large-scale many-body applications, such schemes are often of limited use since no a priori analytical knowledge of the expansion is available. We present here eigenvector continuation as an alternative resummation tool that is both efficient and reliable because it is based on robust and simple mathematical principles.

PERTURBATION-THEORY

NUCLEI

Author

P. Demol

KU Leuven

T. Duguet

KU Leuven

University Paris-Saclay

Andreas Ekström

Chalmers, Physics, Subatomic, High Energy and Plasma Physics

M. Frosini

University Paris-Saclay

K. Hebeler

Technische Universität Darmstadt

Helmholtz

S. Koenig

North Carolina State University

Technische Universität Darmstadt

Helmholtz

D. Lee

Michigan State University

A. Schwenk

Technische Universität Darmstadt

Max Planck Society

Helmholtz

V Soma

University Paris-Saclay

A. Tichai

Helmholtz

Technische Universität Darmstadt

University Paris-Saclay

Max Planck Society

PHYSICAL REVIEW C

2469-9985 (ISSN) 2469-9993 (eISSN)

Vol. 101 4 041302

Strong interactions for precision nuclear physics

European Research Council (ERC), 2018-02-01 -- 2023-01-31.

Subject Categories

Computational Mathematics

Other Physics Topics

Theoretical Chemistry

DOI

10.1103/PhysRevC.101.041302

More information

Latest update

9/15/2020