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 …

Bogoliubov many-body perturbation theory for open-shell nuclei

A Tichai, P Arthuis, T Duguet, H Hergert, V Somá… - Physics Letters B, 2018 - Elsevier
A Rayleigh–Schrödinger many-body perturbation theory (MBPT) approach is introduced by
making use of a particle-number-breaking Bogoliubov reference state to tackle (near-) …

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 …

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 …

Norm overlap between many-body states: Uncorrelated overlap between arbitrary Bogoliubov product states

B Bally, T Duguet - Physical Review C, 2018 - APS
Background: State-of-the-art multi-reference energy density functional calculations require
the computation of norm overlaps between different Bogoliubov quasiparticle many-body …

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 …

Multi-reference many-body perturbation theory for nuclei: I. Novel PGCM-PT formalism

M Frosini, T Duguet, JP Ebran, V Somà - The European Physical Journal A, 2022 - Springer
Perturbative and non-perturbative expansion methods already constitute a tool of choice to
perform ab initio calculations over a significant part of the nuclear chart. In this context, the …

Toward an accurate strongly coupled many-body theory within the equation-of-motion framework

E Litvinova, P Schuck - Physical Review C, 2019 - APS
Nonperturbative aspects of the quantum many-body problem are revisited, discussed and
advanced in the equation of motion framework. We compare the approach to the two …

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 …