Restricted Boltzmann Machines Propagators for Auxiliary Field Diffusion Monte Carlo

Restricted Boltzmann Machines Propagators for Auxiliary Field Diffusion Monte Carlo

The auxiliary field diffusion Monte Carlo method uses imaginary-time projection techniques to accurately solve the ground-state wave function of atomic nuclei and infinite nuclear matter. In this work, we present a novel representation of the imaginary-time propagator based on restricted Boltzmann m...

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Veröffentlicht in:arXiv.org 2024-07
Hauptverfasser: Fox, Jordan M R, Lovato, Alessandro, Roggero, Alessandro, Rrapaj, Ermal
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Field theory
Monte Carlo simulation
Nuclear matter
Nuclei (nuclear physics)
Operators (mathematics)
Particle spin
Wave functions
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Lovato, Alessandro
Roggero, Alessandro
Rrapaj, Ermal
description The auxiliary field diffusion Monte Carlo method uses imaginary-time projection techniques to accurately solve the ground-state wave function of atomic nuclei and infinite nuclear matter. In this work, we present a novel representation of the imaginary-time propagator based on restricted Boltzmann machines. We test its accuracy against the routinely employed Hubbard-Stratonovich transformations by evaluating ground-state energies and single-particle densities of selected light nuclei. This analysis paves the way for incorporating more realistic nuclear potentials in the auxiliary field diffusion Monte Carlo method, including isospin-dependent spin-orbit terms and cubic spin-isospin operators, which characterize accurate phenomenological and chiral effective field theory Hamiltonians.
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subjects Field theory
Monte Carlo simulation
Nuclear matter
Nuclei (nuclear physics)
Operators (mathematics)
Particle spin
Wave functions
title Restricted Boltzmann Machines Propagators for Auxiliary Field Diffusion Monte Carlo
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