Reduced Basis Method for Few-body Bound State Emulation

TL;DR

This paper applies the reduced basis method to nuclear physics, significantly reducing computational costs while maintaining accuracy, thereby enabling more efficient exploration of nuclear models and properties.

Contribution

It introduces a novel application of the reduced basis method to few-body nuclear systems, improving efficiency and information richness over existing techniques.

Findings

Comparable efficiency and accuracy to other dimensionality reduction methods

Provides a richer representation of physical information

Potential to improve systematic exploration of nuclear models

Abstract

Recent advances in both theoretical and computational methods have enabled large-scale, precision calculations of the properties of atomic nuclei. With the growing complexity of modern nuclear theory, however, also comes the need for novel methods to perform systematic studies and quantify the uncertainties of models when confronted with experimental data. This study presents an application of such an approach, the reduced basis method, to substantially lower computational costs by constructing a significantly smaller Hamiltonian subspace informed by previous solutions. Our method shows comparable efficiency and accuracy to other dimensionality reduction techniques on an artificial three-body bound system while providing a richer representation of physical information in its projection and training subspace. This methodological advancement can be applied in other contexts and has the potential to greatly improve our ability to systematically explore theoretical models and thus enhance our understanding of the fundamental properties of nuclear systems.