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Journal Article

Machine learning of quantum phase transitions

MPS-Authors
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Dong,  Xiao-Yu
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Pollmann,  Frank
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Zhang,  Xue-Feng
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1806.00829.pdf
(Preprint), 630KB

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Citation

Dong, X.-Y., Pollmann, F., & Zhang, X.-F. (2019). Machine learning of quantum phase transitions. Physical Review B, 99(12): 121104. doi:10.1103/PhysRevB.99.121104.


Cite as: https://hdl.handle.net/21.11116/0000-0003-CC15-0
Abstract
Machine learning algorithms provide a new perspective on the study of physical phenomena. In this Rapid Communication, we explore the nature of quantum phase transitions using a multicolor convolutional neural network (CNN) in combination with quantum Monte Carlo simulations. We propose a method that compresses (d + 1)-dimensional space-time configurations to a manageable size and then use them as the input for a CNN. We benchmark our approach on two models and show that both continuous and discontinuous quantum phase transitions can be well detected and characterized. Moreover, we show that intermediate phases, which were not trained, can also be identified using our approach.