학술논문

Solving the nuclear pairing model with neural network quantum states
Document Type
Working Paper
Source
Subject
Nuclear Theory
Condensed Matter - Disordered Systems and Neural Networks
Quantum Physics
Language
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.
Comment: 9 pages, 3 figures