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Main Authors: Fajen, O. Jonathan, Grånäs, Oscar, Martínez, Todd J., Niklasson, Anders M. N.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.21461
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author Fajen, O. Jonathan
Grånäs, Oscar
Martínez, Todd J.
Niklasson, Anders M. N.
author_facet Fajen, O. Jonathan
Grånäs, Oscar
Martínez, Todd J.
Niklasson, Anders M. N.
contents We present an extension of the shadow extended Lagrangian Born-Oppenheimer molecular dynamics (XL-BOMD) method to excited state molecular dynamics (ESMD) in the context of \DeltaSCF Kohn-Sham density functional theory, with demonstrations performed using self-consistent charge density functional tight binding (SCC-DFTB) theory. In this shadow ESMD approach, the approximate iterative solution to the exact potential in conventional ESMD is replaced by an exact single-step solution to an approximate shadow excited-state potential. We show that in addition to offering significant improvement in computational cost relative to direct ESMD, our shadow ESMD method provides enhanced stability and robustness relative to its 'exact' counterpart. Our implementation is carried out in the context of SCC-DFTB theory but should be broadly generalizable, both to {\textit{ab initio}} electronic structure methods and to other semi-empirical quantum chemistry approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2507_21461
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Shadow excited state molecular dynamics with the \DeltaSCF method
Fajen, O. Jonathan
Grånäs, Oscar
Martínez, Todd J.
Niklasson, Anders M. N.
Chemical Physics
We present an extension of the shadow extended Lagrangian Born-Oppenheimer molecular dynamics (XL-BOMD) method to excited state molecular dynamics (ESMD) in the context of \DeltaSCF Kohn-Sham density functional theory, with demonstrations performed using self-consistent charge density functional tight binding (SCC-DFTB) theory. In this shadow ESMD approach, the approximate iterative solution to the exact potential in conventional ESMD is replaced by an exact single-step solution to an approximate shadow excited-state potential. We show that in addition to offering significant improvement in computational cost relative to direct ESMD, our shadow ESMD method provides enhanced stability and robustness relative to its 'exact' counterpart. Our implementation is carried out in the context of SCC-DFTB theory but should be broadly generalizable, both to {\textit{ab initio}} electronic structure methods and to other semi-empirical quantum chemistry approaches.
title Shadow excited state molecular dynamics with the \DeltaSCF method
topic Chemical Physics
url https://arxiv.org/abs/2507.21461