Latent unified smooth Hamiltonians for excited state chemistry

📅 2026-09-01
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🤖 AI Summary
本文提出一种神经网络架构,通过学习电子态哈密顿量的隐式基表示来统一处理分子系统的基态和激发态问题。
📝 Abstract
We describe a neural network architecture and training procedure designed to model electronic ground and excited states of arbitrary molecular systems. By indirectly learning a latent, implicit basis representation of the electronic-state Hamiltonian, the model offers a unified treatment of multiple electronic states, conical intersections, and non-adiabatic couplings. The formalism can be further extended to learn consistent latent representations of additional operators such as transition dipole moments, for example. To demonstrate the general capabilities of our architecture, we train and evaluate networks on two realistic photochemical systems, thymine and azobenzene. The resulting models accurately reproduce energies and oscillator strengths for the ground- and low-lying excited states relevant to the photochemistry of these systems. We highlight the performance of the trained networks by studying critical molecular geometries, including conical intersections and excited state minima. By construction, the proposed framework also recovers the emergence of Berry phase accumulation around conical intersections. By pairing key mathematical structure from quantum chemistry with the representation learning power of transformers, the presented architecture offers a qualitatively new path toward fast and accurate ground- and excited-state simulations.
Problem

Research questions and friction points this paper is trying to address.

electronic states
conical intersections
non-adiabatic couplings
Innovation

Methods, ideas, or system contributions that make the work stand out.

latent representation
Hamiltonian
excited states
conical intersections
transformers
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David Juergens
Department of Chemistry and The PULSE Institute, Stanford University, Stanford 4305, California, USA; SLAC National Accelerator Laboratory, Menlo Park, 94025, California, USA
Martin Stöhr
Martin Stöhr
Department of Chemistry and The PULSE Institute, Stanford University, Stanford 4305, California, USA; SLAC National Accelerator Laboratory, Menlo Park, 94025, California, USA
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Andreas E. Hillers-Bendtsen
Department of Chemistry and The PULSE Institute, Stanford University, Stanford 4305, California, USA; SLAC National Accelerator Laboratory, Menlo Park, 94025, California, USA
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O. Jonathan Fajen
Department of Chemistry and The PULSE Institute, Stanford University, Stanford 4305, California, USA; SLAC National Accelerator Laboratory, Menlo Park, 94025, California, USA
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Todd J. Martínez
Department of Chemistry and The PULSE Institute, Stanford University, Stanford 4305, California, USA; SLAC National Accelerator Laboratory, Menlo Park, 94025, California, USA