Restricted Boltzmann Machines Propagators for Auxiliary Field Diffusion Monte Carlo
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916331290361856 |
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| author | Fox, Jordan M. R. Lovato, Alessandro Roggero, Alessandro Rrapaj, Ermal |
| author_facet | Fox, Jordan M. R. Lovato, Alessandro Roggero, Alessandro Rrapaj, Ermal |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14632 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Restricted Boltzmann Machines Propagators for Auxiliary Field Diffusion Monte Carlo Fox, Jordan M. R. Lovato, Alessandro Roggero, Alessandro Rrapaj, Ermal Nuclear Theory 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. |
| title | Restricted Boltzmann Machines Propagators for Auxiliary Field Diffusion Monte Carlo |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2407.14632 |