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.
NUCLEI
PERTURBATION-THEORY
Author
P. Demol
KU Leuven
T. Duguet
University Paris-Saclay
KU Leuven
Andreas Ekström
Chalmers, Physics, Subatomic, High Energy and Plasma Physics
M. Frosini
University Paris-Saclay
K. Hebeler
Technische Universität Darmstadt
Helmholtz
S. Koenig
Technische Universität Darmstadt
Helmholtz
North Carolina State University
D. Lee
Michigan State University
A. Schwenk
Helmholtz
Technische Universität Darmstadt
Max Planck Society
V Soma
University Paris-Saclay
A. Tichai
University Paris-Saclay
Technische Universität Darmstadt
Max Planck Society
Helmholtz
Physical Review C
24699985 (ISSN) 24699993 (eISSN)
Vol. 101 4 041302Strong interactions for precision nuclear physics (PrecisionNuclei)
European Commission (EC) (EC/H2020/758027), 2018-02-01 -- 2023-01-31.
Subject Categories
Computational Mathematics
Other Physics Topics
Theoretical Chemistry
DOI
10.1103/PhysRevC.101.041302