[HTML][HTML] Low-rank matrix decompositions for ab initio nuclear structure
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 …
is intrinsically limited by the handling of large data objects in form of wave-function …
Natural orbitals for many-body expansion methods
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 …
wave-function expansion methods that build upon a second-quantized representation of …
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 …
(yet necessary) task towards the systematic generation of theoretical predictions (and …
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 operators that are processed to solve the stationary Schrödinger equation …
Improved many-body expansions from eigenvector continuation
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 …
from atomic and solid-state physics to quantum chemistry and nuclear structure. Due to the …
Tensor-decomposition techniques for ab initio nuclear structure calculations: From chiral nuclear potentials to ground-state energies
Background: The computational resources needed to generate the ab initio solution of the
nuclear many-body problem for increasing mass number and/or accuracy necessitates …
nuclear many-body problem for increasing mass number and/or accuracy necessitates …
[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 …
energies of closed-shell nuclei using realistic nuclear interactions. Using a simple recursive …
Symmetry reduction of tensor networks in many-body theory: I. Automated symbolic evaluation of SU(2) algebra
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 …
increase in complexity of the underlying formalisms used to solve the stationary Schrödinger …
Importance truncation in non-perturbative many-body techniques: Gorkov self-consistent Green's function calculations
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 …
(iterative) solving of the network and the (repeated) storage of the unknown tensors requires …
Least-square approach for singular value decompositions of scattering problems
It was recently observed that chiral two-body interactions can be efficiently represented
using matrix factorization techniques such as the singular value decomposition. However …
using matrix factorization techniques such as the singular value decomposition. However …