Universal reduced order modelling for the nuclear finite amplitude method
Abstract
The quasiparticle random phase approximation or QRPA has been a foundational many-body technique for decades across quantum chemistry, condensed matter and nuclear physics. Although computing power has increased and the matrix-free Finite Amplitude Method (FAM) exists, the computational complexity of FAM-QRPA calculations remains a limiting factor for the generation of linear response data on atomic nuclei that are crucial for several research fields. In this work, we establish that the FAM-QRPA equations are inherently suited to a reduced order modelling framework and can be emulated efficiently. Moreover, we present a greedy snapshot selection strategy that leverages the reduced cost of FAM-QRPA calculations when the imaginary part of the excitation frequency is large. Even when accounting for its construction, the resulting emulator accelerates strength function calculations by significantly more than an order of magnitude. We demonstrate that this framework and its speed-up generalize to light and heavy nuclei, different numerical representations, and diverse nuclear models including chiral EFT and configuration-interaction shell model approaches, as well as Skyrme, Gogny, and relativistic energy density functionals.
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BibTeX
@misc{vancayseele2026universal,
title = {{Universal reduced order modelling for the nuclear finite amplitude method}},
author = {Emma Vancayseele and Pepijn Demol and Luis González-Miret Zaragoza and Mikael Frosini and Wouter Ryssens},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07452},
eprint = {2609.07452},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05761989v1},
}
RIS
TY - UNPB
TI - Universal reduced order modelling for the nuclear finite amplitude method
AU - Emma Vancayseele
AU - Pepijn Demol
AU - Luis González-Miret Zaragoza
AU - Mikael Frosini
AU - Wouter Ryssens
PY - 2026
DA - 2026/09/07
PB - HAL
DO - 10.48550/arxiv.2609.07452
UR - https://hal.science/hal-05761989v1
AB - The quasiparticle random phase approximation or QRPA has been a foundational many-body technique for decades across quantum chemistry, condensed matter and nuclear physics. Although computing power has increased and the matrix-free Finite Amplitude Method (FAM) exists, the computational complexity of FAM-QRPA calculations remains a limiting factor for the generation of linear response data on atomic nuclei that are crucial for several research fields. In this work, we establish that the FAM-QRPA equations are inherently suited to a reduced order modelling framework and can be emulated efficiently. Moreover, we present a greedy snapshot selection strategy that leverages the reduced cost of FAM-QRPA calculations when the imaginary part of the excitation frequency is large. Even when accounting for its construction, the resulting emulator accelerates strength function calculations by significantly more than an order of magnitude. We demonstrate that this framework and its speed-up generalize to light and heavy nuclei, different numerical representations, and diverse nuclear models including chiral EFT and configuration-interaction shell model approaches, as well as Skyrme, Gogny, and relativistic energy density functionals.
ER -