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Neural-network-supported basis optimizer for the configuration interaction problem in quantum many-body clusters: Feasibility study and numerical proof

MPS-Authors

Bilous,  Pavlo
Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society;

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2406.00151.pdf
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(Supplementary material), 39KB

Citation

Bilous, P., Thirion, L., Menke, H., Haverkort, M. W., Pálffy, A., & Hansmann, P. (2024). Neural-network-supported basis optimizer for the configuration interaction problem in quantum many-body clusters: Feasibility study and numerical proof. arXiv, 2406.00151.


Cite as: https://hdl.handle.net/21.11116/0000-000F-63B6-4
Abstract
A deep-learning approach to optimize the selection of Slater determinants in configuration interac- tion calculations for condensed-matter quantum many-body systems is developed. We exemplify our algorithm on the discrete version of the single-impurity Anderson model with up to 299 bath sites. Employing a neural network classifier and active learning, our algorithm enhances computational efficiency by iteratively identifying the most relevant Slater determinants for the ground-state wave- function. We benchmark our results against established methods and investigate the efficiency of our approach as compared to other basis truncation schemes. Our algorithm demonstrates a substantial improvement in the efficiency of determinant selection, yielding a more compact and computation- ally manageable basis without compromising accuracy. Given the straightforward application of our neural network-supported selection scheme to other model Hamiltonians of quantum many-body clusters, our algorithm can significantly advance selective configuration interaction calculations in the context of correlated condensed matter.