Randomized low-rank decompositions of nuclear three-body interactions

Tichai, Alexander; Arthuis, P.; Hebeler, Kai; Heinz, Matthias; Hoppe, Jan; Miyagi, Takayuki; Schwenk, Achim; Zurek, Lars

doi:10.1103/physrevresearch.6.043331

Title: Randomized low-rank decompositions of nuclear three-body interactions

Journal Article · 30 December 2024 · Physical Review Research

DOI: https://doi.org/10.1103/physrevresearch.6.043331 · OSTI ID:2498432

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Technical Univ. of Darmstadt (Germany); GSI-Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany); Helmholtz Research Academy Hesse for FAIR (HFHF), Giessen (Germany); Université Paris-Saclay, Orsay (France); Centre National de la Recherche Scientifique (CNRS) (France)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany); Univ. of Tsukuba (Japan)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany); Univ. Paris-Saclay (France); Commissariat a l'Energie Atomique (CEA) (France)

First-principles simulations of many-fermion systems are commonly limited by the computational requirements of processing large data objects. As a remedy, we propose the use of low-rank approximations of three-body interactions, which are the dominant such limitation in nuclear physics. We introduce a randomized decomposition technique to handle the excessively large matrix dimensions and study the sensitivity of low-rank properties to interaction details. The developed low-rank three-nucleon interactions are benchmarked in ab initio simulations of few- and many-body systems. Exploiting low-rank properties provides a promising route to extend the microscopic description of atomic nuclei to large systems where storage requirements exceed the computational capacities of the most advanced high-performance computing facilities.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 2498432

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 4 Vol. 6; ISSN 2643-1564

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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