Emulators and Artificial Neural Networks in Computational Quantum Continuum Physics

ORAL  · Invited

Abstract

Recently, emulators and artificial neural networks have gained attention in computational quantum physics. This presentation will explore their applications and future prospects in nuclear continuum physics for both few and many-body systems.

Emulator technology, particularly those using the reduced basis method (also known as eigenvector continuation in nuclear theory), is being actively used to develop new continuum methods or enhance existing calculations. I will highlight some promising advancements in this area. Meanwhile, artificial neural networks, considered as universal approximators, open up an exciting avenue for solving complex equation systems in quantum continuum physics. While recent research has predominantly focused on computing many-body ground states, I will discuss our efforts to extend this approach to excited states and continuum states.

*This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under the FRIB Theory Alliance Award No. DE-SC0013617 and under the STREAMLINE Collaboration Award No. DE-SC0024586.

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Publication: Xilin Zhang, A non-Hermitian quantum mechanics approach for extracting and emulating continuum physics based on bound-state-like calculations: technical details, [arXiv: 2411.06712].
Xilin Zhang, A non-Hermitian quantum mechanics approach for extracting and emulating continuum physics based on bound-state-like calculations, [arXiv: 2408.03309].
X. Zhang and R. J. Furnstahl, Fast emulation of quantum three-body scattering, Phys. Rev. C 105., no.6, 064004 (2022) [arXiv:2110.04269 ].
R. J. Furnstahl, A. J. Garcia, P. J. Millican and X. Zhang, Efficient emulators for scattering using eigenvector continuation, Phys. Lett. B 809, 135719 (2020) [arXiv:2007.03635 ].
J. A. Melendez, C. Drischler, R. J. Furnstahl, A. J. Garcia and X. Zhang, Model reduction methods for nuclear emulators, J. Phys. G 49, no.10, 102001 (2022) [arXiv:2203.05528].
C. Drischler, J. A. Melendez, R. J. Furnstahl, A. J. Garcia and X. Zhang, BUQEYE guide to projection-based emulators in nuclear physics, Front. in Phys. 10, 1092931 (2022) [arXiv:2212.04912].

Presenters

  • Xilin Zhang

    • FRIB, Michigan State University

Authors

  • Xilin Zhang

    • FRIB, Michigan State University