Bodendorfer, Norbert and Oktay, Onur and Gautam, Vaibhav and Hanada, Masanori and Rinaldi, Enrico (2025) Variational Monte Carlo with neural network quantum states for a Yang-Mills matrix model. PHYSICAL REVIEW D, 112 (4): 046010. ISSN 2470-0010, 2470-0029
Full text not available from this repository.Abstract
We apply the variational Monte Carlo method based on neural network quantum states, using a neural autoregressive flow architecture as our ansatz, to determine the ground state wave function of the bosonic SU(N) Yang-Mills-type two-matrix model at strong coupling. Previous literature hinted at the inaccuracy of such an approach at strong coupling. In this work, the accuracy of the results is tested using lattice Monte Carlo simulations: we benchmark the expectation value of the energy of the ground state for system sizes N that are beyond brute-force exact diagonalization methods. We observe that the variational method with neural network states reproduces the right ground state energy when the width of the network employed in this work is sufficiently large. We confirm that the correct result is obtained for N = 2 and 3, while obtaining a precise value for N = 4 requires more resources than the amount available for this work.
| Item Type: | Article |
|---|---|
| Additional Information: | DOI in WoS und in ejournal stimmt nicht- heraus genommen / https://journals.aps.org/prd/abstract/10.1103/t8m6-zhrm - über ejournal dann Artikel gefunden/gup |
| Subjects: | 500 Science > 520 Astronomy & allied sciences 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Experimental and Applied Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Jul 2026 06:18 |
| Last Modified: | 16 Jul 2026 06:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66857 |
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