A differentiable programming framework for spin models

04/04/2023

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by   Tiago de Souza Farias, et al.

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Spin systems are a powerful tool for modeling a wide range of physical systems. In this paper, we propose a novel framework for modeling spin systems using differentiable programming. Our approach enables us to efficiently simulate spin systems, making it possible to model complex systems at scale. Specifically, we demonstrate the effectiveness of our technique by applying it to three different spin systems: the Ising model, the Potts model, and the Cellular Potts model. Our simulations show that our framework offers significant speedup compared to traditional simulation methods, thanks to its ability to execute code efficiently across different hardware architectures, including Graphical Processing Units and Tensor Processing Units.