Low-rank matrix decompositions for ab initio nuclear structure

Physics Letters B

M. Heinz¹  P. Arthuis²  A. Schwenk²  K. Hebeler³  J. Hoppe⁴  A. Tichai⁴ 

[1] Corresponding author.;ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany;Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany;Technische Universität Darmstadt, Department of Physics, 64289 Darmstadt, Germany;

关键词: Many-body theory;    Ab initio nuclear structure;    Tensor factorizations;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown