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

Abstract

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 large 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. This Letter will enable novel applications such as using astrophysical observations to put constraints on coupling constants for nuclear interactions.

6 pages, 4 figures, includes supplemental material, published version

References in corpus (15)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• Accurate nuclear radii and binding energies from a chiral interaction
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• A NICER View of the Nearest and Brightest Millisecond Pulsar: PSR J0437$\unicode{x2013}$4715
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Impact of the PSR J0740+6620 radius constraint on the properties of high-density matter
• Constraining the dense matter equation of state with new NICER mass-radius measurements and new chiral effective field theory inputs
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Neutron matter from local chiral effective field theory interactions at large cutoffs
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations

Cited by in corpus (6)

• Bayesian approach for many-body uncertainties in nuclear structure: Many-body perturbation theory for finite nuclei
• Are NICER and GW170817 constraints suggesting a compactified scenario for Neutron stars?
• Constraining Hamiltonians from chiral effective field theory with neutron-star data
• Hartree-Fock emulators for nuclei: Application to charge radii of ${}^{48,52}$Ca
• Ab initio study of the neutron and Fermi polarons on the lattice
• Conformal prediction for uncertainties in nucleon-nucleon scattering