Exponential convergence of the local diabatic representation for nonadiabatic models Article Swipe
The discrete variable local diabatic representation (LDR) provides a divergence-free framework for exact conical intersection dynamics simulation. In this work, we investigate the convergence with respect to the number of "nuclear" grid points and "electronic" states of LDR for the eigenvalue problems using coupled oscillator models. The performance of LDR is compared with traditional approaches based on the Born-Huang ansatz and on the crude adiabatic representation. Our results demonstrate that for weak vibronic couplings, LDR shows similar convergence rate as the exact Born-Huang representation including not only the first-order derivative couplings but also the diagonal Born-Oppenheimer corrections and second-order derivative couplings. Surprisingly, for strong vibronic couplings, LDR shows a significant faster convergence rate with respect to the number of grid points, hence the number of electronic structure computations, than the exact Born-Huang representation. The crude adiabatic representation in generally shows a much slower convergence rate for all cases. The diagonal Born-Oppenheimer corrections and second-order derivative couplings are found to be important in the Born-Huang framework.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2509.05694
- https://arxiv.org/pdf/2509.05694
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Exponential convergence of the local diabatic representation for nonadiabatic modelsWork title
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preprintOpenAlex work type
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enPrimary language
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2025Year of publication
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2025-09-06Full publication date if available
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Mo Sha, Bing GuList of authors in order
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https://arxiv.org/abs/2509.05694Publisher landing page
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https://arxiv.org/pdf/2509.05694Direct link to full text PDF
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greenOpen access status per OpenAlex
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