Randomized low-rank decompositions of nuclear three-body interactions

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Abstract
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 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. Published by the American Physical Society 2024
Funding Information
  • H2020 European Research Council (101020842)
  • Deutsche Forschungsgemeinschaft (279384907 – SFB 1245)
  • Bundesministerium für Forschung, Technologie und Raumfahrt (05P21RDFNB)
  • Gauss Centre for Supercomputing
  • Jülich Supercomputing Centre, Forschungszentrum Jülich

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