Modewise Johnson–Lindenstrauss embeddings for nuclear many-body theory

A Zare, R Wirth, CA Haselby, H Hergert… - The European Physical …, 2023 - Springer
In the present work, we initiate a program that explores modewise Johnson–Lindenstrauss
embeddings (JLEs) as a tool to reduce the computational cost and memory requirements of …

Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques

A Tichai, J Ripoche, T Duguet - The European Physical Journal A, 2019 - Springer
The solution of the nuclear A-body problem encounters severe limitations from the size of
many-body operators that are processed to solve the stationary Schrödinger equation …

Importance truncation in non-perturbative many-body techniques: Gorkov self-consistent Green's function calculations

A Porro, V Somà, A Tichai, T Duguet - The European Physical Journal A, 2021 - Springer
Expansion many-body methods correspond to solving complex tensor networks. The
(iterative) solving of the network and the (repeated) storage of the unknown tensors requires …

Dimensionality reduction through tensor factorization: Application to ab initio nuclear physics calculations

M Frosini, T Duguet, P Tamagno… - EPJ Web of …, 2024 - epj-conferences.org
The construction of predictive models of atomic nuclei from first principles is a challenging
(yet necessary) task towards the systematic generation of theoretical predictions (and …

Natural orbitals for many-body expansion methods

J Hoppe, A Tichai, M Heinz, K Hebeler, A Schwenk - Physical Review C, 2021 - APS
The nuclear many-body problem for medium-mass systems is commonly addressed using
wave-function expansion methods that build upon a second-quantized representation of …

Many-body perturbation theories for finite nuclei

A Tichai, R Roth, T Duguet - Frontiers in Physics, 2020 - frontiersin.org
In recent years many-body perturbation theory encountered a renaissance in the field of ab
initio nuclear structure theory. In various applications it was shown that perturbation theory …

Improved many-body expansions from eigenvector continuation

P Demol, T Duguet, A Ekström, M Frosini, K Hebeler… - Physical Review C, 2020 - APS
Quantum many-body theory has witnessed tremendous progress in various fields, ranging
from atomic and solid-state physics to quantum chemistry and nuclear structure. Due to the …

Current status of very-large-basis Hamiltonian diagonalizations for nuclear physics

CW Johnson - arXiv preprint arXiv:1809.07869, 2018 - arxiv.org
Today there are a plethora of many-body techniques for calculating nuclear wave functions
and matrix elements. I review the status of that reliable workhorse, the interacting shell …

Hartree–Fock many-body perturbation theory for nuclear ground-states

A Tichai, J Langhammer, S Binder, R Roth - Physics Letters B, 2016 - Elsevier
We investigate the order-by-order convergence behavior of many-body perturbation theory
(MBPT) as a simple and efficient tool to approximate the ground-state energy of closed-shell …

Combining symmetry breaking and restoration with configuration interaction: A highly accurate many-body scheme applied to the pairing Hamiltonian

J Ripoche, D Lacroix, D Gambacurta, JP Ebran… - Physical Review C, 2017 - APS
Background: Ab initio many-body methods have been developed over the past ten years to
address mid-mass nuclei. In their best current level of implementation, their accuracy is of …