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 …

[HTML][HTML] Excited states from eigenvector continuation: The anharmonic oscillator

MC Franzke, A Tichai, K Hebeler, A Schwenk - Physics Letters B, 2022 - Elsevier
Eigenvector continuation (EC) has recently attracted a lot attention in nuclear structure and
reactions as a variational resummation tool for many-body expansions. While previous …

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 …

[HTML][HTML] Low-rank matrix decompositions for ab initio nuclear structure

A Tichai, P Arthuis, K Hebeler, M Heinz, J Hoppe… - Physics Letters B, 2021 - Elsevier
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 …

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 …

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 …

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 …

[HTML][HTML] Padé-resummed high-order perturbation theory for nuclear structure calculations

R Roth, J Langhammer - Physics Letters B, 2010 - Elsevier
We apply high-order many-body perturbation theory for the calculation of ground-state
energies of closed-shell nuclei using realistic nuclear interactions. Using a simple recursive …

Bogoliubov many-body perturbation theory under constraint

P Demol, M Frosini, A Tichai, V Somà, T Duguet - Annals of Physics, 2021 - Elsevier
In order to solve the A-body Schrödinger equation both accurately and efficiently for open-
shell nuclei, a novel many-body method coined as Bogoliubov many-body perturbation …

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 …