Improved many-body expansions from eigenvector continuation
| Autor: | Mikael Frosini, Andreas Ekström, Pepijn Demol, Thomas Duguet, Achim Schwenk, Dean Lee, V. Somà, Alexander Tichai, Kai Hebeler, Sebastian König |
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| Přispěvatelé: | Institut de Recherches sur les lois Fondamentales de l'Univers (IRFU), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Other Physics Topics
[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th] Nuclear Theory FOS: Physical sciences Nuclear Structure 01 natural sciences Nuclear Theory (nucl-th) Condensed Matter - Strongly Correlated Electrons Simple (abstract algebra) 0103 physical sciences Convergence (routing) ddc:530 Statistical physics Perturbation theory Resummation 010306 general physics Theoretical Chemistry Quantum Eigenvalues and eigenvectors Physics NUCLEI Strongly Correlated Electrons (cond-mat.str-el) 010308 nuclear & particles physics Nuclear structure Starke Wechselwirkung und exotische Kerne – Abteilung Blaum [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] Computational Mathematics A priori and a posteriori PERTURBATION-THEORY |
| Zdroj: | Physical Review C Physical review / C 101(4), 041302 (2020). doi:10.1103/PhysRevC.101.041302 Phys.Rev.C Phys.Rev.C, 2020, 101 (4), pp.041302. ⟨10.1103/PhysRevC.101.041302⟩ Physical Review C, American Physical Society, 2020, 101 (4), pp.041302. ⟨10.1103/PhysRevC.101.041302⟩ Physical Review C (24699985) vol.101(2020) |
| ISSN: | 2469-9985 2469-9993 |
| Popis: | 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. 6 pages, 2 figures |
| Databáze: | OpenAIRE |
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