Improved many-body expansions from eigenvector continuation
Abstract
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.
- Publication Date:
- Research Org.:
- Michigan State Univ., East Lansing, MI (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); European Research Council (ERC); Union’s Horizon 2020; German Research Foundation (DFG)
- OSTI Identifier:
- 1632942
- Alternate Identifier(s):
- OSTI ID: 1803444
- Grant/Contract Number:
- SC0018638; AC52-06NA25396; 758027; A005057392
- Resource Type:
- Published Article
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Name: Physical Review C Journal Volume: 101 Journal Issue: 4; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics
Citation Formats
Demol, P., Duguet, T., Ekström, A., Frosini, M., Hebeler, K., König, S., Lee, D., Schwenk, A., Somà, V., and Tichai, A. Improved many-body expansions from eigenvector continuation. United States: N. p., 2020.
Web. doi:10.1103/PhysRevC.101.041302.
Demol, P., Duguet, T., Ekström, A., Frosini, M., Hebeler, K., König, S., Lee, D., Schwenk, A., Somà, V., & Tichai, A. Improved many-body expansions from eigenvector continuation. United States. https://doi.org/10.1103/PhysRevC.101.041302
Demol, P., Duguet, T., Ekström, A., Frosini, M., Hebeler, K., König, S., Lee, D., Schwenk, A., Somà, V., and Tichai, A. Thu .
"Improved many-body expansions from eigenvector continuation". United States. https://doi.org/10.1103/PhysRevC.101.041302.
@article{osti_1632942,
title = {Improved many-body expansions from eigenvector continuation},
author = {Demol, P. and Duguet, T. and Ekström, A. and Frosini, M. and Hebeler, K. and König, S. and Lee, D. and Schwenk, A. and Somà, V. and Tichai, A.},
abstractNote = {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.},
doi = {10.1103/PhysRevC.101.041302},
journal = {Physical Review C},
number = 4,
volume = 101,
place = {United States},
year = {Thu Apr 09 00:00:00 EDT 2020},
month = {Thu Apr 09 00:00:00 EDT 2020}
}
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https://doi.org/10.1103/PhysRevC.101.041302
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Cited by: 21 works
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