Low-rank matrix decompositions for ab initio nuclear structure

Abstract

The extension of ab initio quantum many-body theory to higher accuracy and larger systems is intrinsically limited by the handling of large data objects in form of wave-function expansions and/or many-body operators. In this work we present matrix factorization techniques as a systematically improvable and robust tool to significantly reduce the computational cost in many-body applications at the price of introducing a moderate decomposition error. We demonstrate the power of this approach for the nuclear two-body systems, for many-body perturbation theory calculations of symmetric nuclear matter, and for non-perturbative in-medium similarity renormalization group simulations of finite nuclei. Establishing low-rank expansions of chiral nuclear interactions offers possibilities to reformulate many-body methods in ways that take advantage of tensor factorization strategies.

arXiv comment7 pages, 5 figures, published in Phys. Lett. B

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Cited by in corpus (7)

• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Nuclear Structure at the Crossroads
• Least-square approach for singular value decompositions of scattering problems
• Modewise Johnson-Lindenstrauss Embeddings for Nuclear Many-Body Theory
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• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions
• Deformed natural orbitals for ab initio calculations