Wavefunction matching for solving quantum many-body problems

Elhatisari, Serdar; Bovermann, Lukas; Ma, Yuan-Zhuo; Epelbaum, Evgeny; Frame, Dillon; Hildenbrand, Fabian; Kim, Myungkuk; Kim, Youngman; Krebs, Hermann; Lähde, Timo A.; Lee, Dean; Li, Ning; Lu, Bing-Nan; Meißner, Ulf-G; Rupak, Gautam; Shen, Shihang; Song, Young-Ho; Stellin, Gianluca

doi:10.1038/s41586-024-07422-z

Title: Wavefunction matching for solving quantum many-body problems

Journal Article · 15 May 2024 · Nature (London)

DOI: https://doi.org/10.1038/s41586-024-07422-z · OSTI ID:2374989

^[1];

^[2];

^[3];

^[2]; Frame, Dillon ^[4]; Hildenbrand, Fabian ^[4]; Kim, Myungkuk ^[5]; Kim, Youngman ^[5]; Krebs, Hermann ^[2];

^[4];

^[6]; Li, Ning ^[7]; Lu, Bing-Nan ^[8];

^[9]; Rupak, Gautam ^[10];

^[4];

^[11]; Stellin, Gianluca ^[12]

Gaziantep Islam Science and Technology University (Turkey); Universität Bonn (Germany)
Ruhr-Universität Bochum (Germany)
Michigan State University, East Lansing, MI (United States); South China Normal University, Guangzhou (China)
Jülich Center for Hadron Physics (Germany); Forschungszentrum Jülich (Germany)
Institute for Basic Science, Daejeon (Korea)
Michigan State University, East Lansing, MI (United States)
Sun Yat-Sen University, Guangzhou (China)
Graduate School of China Academy of Engineering Physics, Beijing (China)
Universität Bonn (Germany); Jülich Center for Hadron Physics (Germany); Forschungszentrum Jülich (Germany); Tbilisi State University (Georgia)
Mississippi State University, Mississippi State, MS (United States)
Institute for Basic Science (IBS), Daejeon (Korea)
CEA Paris-Saclay and Université Paris-Saclay, Gif-sur-Yvette (France)

Ab initio calculations have an essential role in our fundamental understanding of quantum many-body systems across many subfields, from strongly correlated fermions to quantum chemistry and from atomic and molecular systems to nuclear physics. One of the primary challenges is to perform accurate calculations for systems where the interactions may be complicated and difficult for the chosen computational method to handle. Here we address the problem by introducing an approach called wavefunction matching. Wavefunction matching transforms the interaction between particles so that the wavefunctions up to some finite range match that of an easily computable interaction. This allows for calculations of systems that would otherwise be impossible owing to problems such as Monte Carlo sign cancellations. We apply the method to lattice Monte Carlo simulations of light nuclei, medium-mass nuclei, neutron matter and nuclear matter. We use high-fidelity chiral effective field theory interactions and find good agreement with empirical data. These results are accompanied by insights on the nuclear interactions that may help to resolve long-standing challenges in accurately reproducing nuclear binding energies, charge radii and nuclear-matter saturation in ab initio calculations.

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Research Organization:: Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); NSFC; Chinese Academy of Sciences (CAS) President’s International Fellowship Initiative (PIFI); Volkswagen Stiftung; European Union’s Horizon 2020 research and innovation programme; National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: SC0013365; SC0023658; SC0024586; SC0023175; PHY-2310620; 12070131001; 2018DM0034; 93562; 101018170; 12105106; 12275259

OSTI ID:: 2374989

Journal Information:: Nature (London), Vol. 630, Issue 8015; ISSN 0028-0836

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
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Title: Wavefunction matching for solving quantum many-body problems

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