Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions
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arXiv
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| Auteurs principaux: | , , , , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909450630070272 |
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| author | Tichai, A. Arthuis, P. Hebeler, K. Heinz, M. Hoppe, J. Miyagi, T. Schwenk, A. Zurek, L. |
| author_facet | Tichai, A. Arthuis, P. Hebeler, K. Heinz, M. Hoppe, J. Miyagi, T. Schwenk, A. Zurek, L. |
| contents | 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 novel 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15572 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions Tichai, A. Arthuis, P. Hebeler, K. Heinz, M. Hoppe, J. Miyagi, T. Schwenk, A. Zurek, L. Nuclear Theory Strongly Correlated Electrons 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 novel 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. |
| title | Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions |
| topic | Nuclear Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2307.15572 |