Publication Date
10-1-2022
Document Type
Article
Publication Title
Carbon Trends
Volume
9
DOI
10.1016/j.cartre.2022.100231
Abstract
Numerical approaches to the correlated electron problem have achieved considerable success, yet are still constrained by several bottlenecks, including high order polynomial or exponential scaling in system size, long autocorrelation times, challenges in recognizing novel phases, and the Fermion sign problem. Methods in machine learning (ML), artificial intelligence, and data science promise to help address these limitations and open up a new frontier in strongly correlated quantum system simulations. In this paper, we review some of the progress in this area. We begin by examining these approaches in the context of classical models, where their underpinnings and application can be easily illustrated and benchmarked. We then discuss cases where ML methods have enabled scientific discovery. Finally, we will examine their applications in accelerating model solutions in state-of-the-art quantum many-body methods like quantum Monte Carlo and discuss potential future research directions.
Funding Number
DE-SC0022311
Funding Sponsor
U.S. Department of Energy
Keywords
Machine learning, Many-body physics, Quantum materials
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Department
Physics and Astronomy
Recommended Citation
Steven Johnston, Ehsan Khatami, and Richard Scalettar. "A perspective on machine learning and data science for strongly correlated electron problems" Carbon Trends (2022). https://doi.org/10.1016/j.cartre.2022.100231