Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter

Armstrong, Cassandra Lee; Giuliani, Pablo; Godbey, Kyle; Somasundaram, Rahul; Tews, Ingo

doi:10.1103/9928-wyjm

Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter

Journal Article · Thu Oct 02 00:00:00 EDT 2025 · Physical Review Letters

DOI:https://doi.org/10.1103/9928-wyjm· OSTI ID:3003178

^[1]; ^[2]; ^[2]; ^[3]; ^[4]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Michigan State Univ., East Lansing, MI (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States). Theoretical Div.; Syracuse Univ., NY (United States). Dept. of Physics
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States). Theoretical Div.

Understanding the equation of state (EOS) of pure neutron matter is necessary for interpreting multimessenger observations of neutron stars. Reliable data analyses of these observations require well-quantified uncertainties for the EOS input, ideally propagating uncertainties from nuclear interactions directly to the EOS. This, however, requires calculations of the EOS for a prohibitively larger number of nuclear Hamiltonians, solving the nuclear many-body problem for each one. Quantum Monte Carlo methods, such as auxiliary-field diffusion Monte Carlo (AFDMC), provide precise and accurate results for the neutron matter EOS, but they are very computationally expensive, making them unsuitable for the fast evaluations necessary for uncertainty propagation. Here, we employ parametric matrix models to develop fast emulators for AFDMC calculations of neutron matter and use them to directly propagate uncertainties of coupling constants in the Hamiltonian to the EOS. As these uncertainties include estimates of the effective field theory truncation uncertainty, this approach provides robust uncertainty estimates for use in astrophysical data analyses. In conclusion, this Letter will enable novel applications such as using astrophysical observations to put constraints on coupling constants for nuclear interactions.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Michigan State University, East Lansing, MI (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: 89233218CNA000001; AC02-05CH11231; AC52-06NA25396; SC0023175

Other Award/Contract Number:: 20230315ER
20240477CR
20220541ECR
OAC-2004601
21-16686

OSTI ID:: 3003178

Alternate ID(s):: OSTI ID: 3029693

Report Number(s):: LA-UR--24-27320; 10.1103/9928-wyjm

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 14 Vol. 135; ISSN 1079-7114; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter

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