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 …

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 …

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 …

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 …

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 …

Symmetry reduction of tensor networks in many-body theory: I. Automated symbolic evaluation of SU(2) algebra

A Tichai, R Wirth, J Ripoche, T Duguet - The European Physical Journal A, 2020 - Springer
The ongoing progress in (nuclear) many-body theory is accompanied by an ever-rising
increase in complexity of the underlying formalisms used to solve the stationary Schrödinger …

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 …

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] 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 …

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-) …