Hidden-nucleons neural-network quantum states for the nuclear many-body problem

• URL: http://arxiv.org/abs/2206.10021v1
• Date: Mon, 20 Jun 2022 22:00:53 GMT
• Title: Hidden-nucleons neural-network quantum states for the nuclear many-body problem
• Authors: A. Lovato, C. Adams, G. Carleo, N. Rocco
• Abstract summary: We show that adding hidden nucleons to the original space augments the expressivity of the neural-network architecture. This method opens the way to highly-accurate quantum Monte Carlo studies of medium-mass nuclei.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We generalize the hidden-fermion family of neural network quantum states to encompass both continuous and discrete degrees of freedom and solve the nuclear many-body Schr\"odinger equation in a systematically improvable fashion. We demonstrate that adding hidden nucleons to the original Hilbert space considerably augments the expressivity of the neural-network architecture compared to the Slater-Jastrow ansatz. The benefits of explicitly encoding in the wave function point symmetries such as parity and time-reversal are also discussed. Leveraging on improved optimization methods and sampling techniques, the hidden-nucleon ansatz achieves an accuracy comparable to the numerically-exact hyperspherical harmonic method in light nuclei and to the auxiliary field diffusion Monte Carlo in $^{16}$O. Thanks to its polynomial scaling with the number of nucleons, this method opens the way to highly-accurate quantum Monte Carlo studies of medium-mass nuclei.

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