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 …

In-medium k-body reduction of n-body operators: A flexible symmetry-conserving approach based on the sole one-body density matrix

M Frosini, T Duguet, B Bally… - The European Physical …, 2021 - Springer
The computational cost of ab initio nuclear structure calculations is rendered particularly
acute by the presence of (at least) three-nucleon interactions. This feature becomes …

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 …

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 …

Natural orbitals for ab initio no-core shell model calculations

A Tichai, J Müller, K Vobig, R Roth - Physical Review C, 2019 - APS
We explore the impact of optimizations of the single-particle basis on the convergence
behavior and robustness of ab initio no-core shell model calculations of nuclei. Our focus is …

Effective operators from exact many-body renormalization

AF Lisetskiy, MKG Kruse, BR Barrett, P Navratil… - Physical Review C …, 2009 - APS
We construct effective two-body Hamiltonians and E 2 operators for the p shell by performing
16 ℏ Ω ab initio no-core shell model (NCSM) calculations for A= 5 and A= 6 nuclei and …

Singular value decomposition and similarity renormalization group evolution of nuclear interactions

B Zhu, R Wirth, H Hergert - Physical Review C, 2021 - APS
One of the main challenges for ab initio nuclear many-body theory in the coming decade is
the growth of computational and storage costs as calculations are extended to increasingly …

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 …

Natural orbitals for the ab initio no-core configuration interaction approach

PJ Fasano, C Constantinou, MA Caprio, P Maris… - Physical Review C, 2022 - APS
Ab initio no-core configuration interaction (NCCI) calculations for the nuclear many-body
problem have traditionally relied upon an antisymmetrized product (Slater determinant) …