Low-rank matrix decompositions for ab initio nuclear structure

A. Tichai, P. Arthuis, K. Hebeler, M. Heinz, J. Hoppe, A. Schwenk

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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.

Original languageEnglish
Article number136623
JournalPhysics Letters B
Volume821
DOIs
StatePublished - Oct 10 2021
Externally publishedYes

Funding

We thank Lars Zurek for useful discussions and comments on the manuscript, and Andreas Ekström for providing us with matrix elements for the Δ-N 2 LO GO interaction. This work was supported in part by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Projektnummer 279384907 – SFB 1245 and by the BMBF Contract No. 05P18RDFN1 .

Keywords

  • Ab initio nuclear structure
  • Many-body theory
  • Tensor factorizations

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