Learning Time-Dependent Density Functional Theory via Geometry and Physics Aware Latent Evolution

ICLR 2025 Conference Submission12913 Authors

28 Sept 2024 (modified: 25 Nov 2024)ICLR 2025 Conference SubmissionEveryoneRevisionsBibTeXCC BY 4.0
Keywords: AI for science, Density functional theory, Real-time TDDFT, Neural PDE solver
Abstract: We consider using machine learning to simulate time-dependent density functional theory (TDDFT) to predict physical properties of molecules and materials beyond their ground states. In particular, by simulating the electronic response of the system under an external electromagnetic field, the optical absorption spectrum can be calculated using real-time TDDFT (RT-TDDFT), which provides physical information about the excited states and dipole strength function. However, RT-TDDFT simulation requires the direct propagation of electronic wavefunctions of all valence electrons for extended periods, making the process very time-consuming. In this work, we model electron density as volumetric data and train neural networks to map between coarse time steps. To make the model aware of the atomistic environment, we incorporate 3D message passing into the model architecture. Additionally, we use latent evolution to regularize the model towards learning the underlying physics. Our method is termed TDDFTNet. To evaluate our approach, we generate datasets using molecules from the MD17 dataset. Results show that TDDFTNet can learn the time propagation of electron densities accurately and efficiently.
Primary Area: applications to physical sciences (physics, chemistry, biology, etc.)
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Submission Number: 12913
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