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 language | English |
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Article number | 136623 |
Journal | Physics Letters B |
Volume | 821 |
DOIs | |
State | Published - Oct 10 2021 |
Externally published | Yes |
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