Neural Network Solutions of Bosonic Quantum Systems in One Dimension

Paulo F. Bedaque; Hersh Kumar; Andy Sheng

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arXiv · 2309.02352

Neural Network Solutions of Bosonic Quantum Systems in One Dimension

Paulo F. Bedaque·Hersh Kumar·Andy Sheng

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Abstract

Neural networks have been proposed as efficient numerical wavefunction ansatze which can be used to variationally search a wide range of functional forms for ground state solutions. These neural network methods are also advantageous in that more variational parameters and system degrees of freedom can be easily added. We benchmark the methodology by using neural networks to study several different integrable bosonic quantum systems in one dimension and compare our results to the exact solutions. While testing the scalability of the procedure to systems with many particles, we also introduce using symmetric function inputs to the neural network to enforce exchange symmetries of indistinguishable particles.

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Paulo F. Bedaque, Hersh Kumar, Andy Sheng. 2023-09-05. Neural Network Solutions of Bosonic Quantum Systems in One Dimension. https://arxiv.org/abs/2309.02352

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