Neural network flows of low q-state Potts and clock models

Dimitrios Giataganas, Ching Yu Huang*, Feng Li Lin

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

It is known that a trained restricted Boltzmann machine (RBM) on the binary Monte Carlo Ising spin configurations, generates a series of iterative reconstructed spin configurations which spontaneously flow and stabilize to the critical point of physical system. Here we construct a variety of neural network (NN) flows using the RBM and (variational) autoencoders, to study the q-state Potts and clock models on the square lattice for q = 2, 3, 4. The NN are trained on Monte Carlo spin configurations at various temperatures. We find that the trained NN flow does develop a stable point that coincides with critical point of the q-state spin models. The behavior of the NN flow is nontrivial and generative, since the training is unsupervised and without any prior knowledge about the critical point and the Hamiltonian of the underlying spin model. Moreover, we find that the convergence of the flow is independent of the types of NNs and spin models, hinting a universal behavior. Our results strengthen the potential applicability of the notion of the NN flow in studying various states of matter and offer additional evidence on the connection with the renormalization group flow.

原文英語
文章編號043040
期刊New Journal of Physics
24
發行號4
DOIs
出版狀態已發佈 - 2022 4月 1

ASJC Scopus subject areas

  • 物理與天文學 (全部)

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