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Nuclear Theory

Title: Solving the nuclear pairing model with neural network quantum states

Abstract: We present a variational Monte Carlo method that solves the nuclear many-body problem in the occupation number formalism exploiting an artificial neural network representation of the ground-state wave function. A memory-efficient version of the stochastic reconfiguration algorithm is developed to train the network by minimizing the expectation value of the Hamiltonian. We benchmark this approach against widely used nuclear many-body methods by solving a model used to describe pairing in nuclei for different types of interaction and different values of the interaction strength. Despite its polynomial computational cost, our method outperforms coupled-cluster and provides energies that are in excellent agreement with the numerically-exact full configuration interaction values.
Comments: 9 pages, 3 figures
Subjects: Nuclear Theory (nucl-th); Disordered Systems and Neural Networks (cond-mat.dis-nn); Quantum Physics (quant-ph)
DOI: 10.1103/PhysRevE.107.025310
Cite as: arXiv:2211.04614 [nucl-th]
  (or arXiv:2211.04614v1 [nucl-th] for this version)

Submission history

From: Alessandro Lovato [view email]
[v1] Wed, 9 Nov 2022 00:18:01 GMT (105kb,D)

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