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Quantum geometrical molecular dynamics.

Yujuan Xie1,2, Ruoxi Liu1, Bing Gu1,2

  • 1Department of Chemistry and Department of Physics, Westlake University, Hangzhou, Zhejiang 310030, China.

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|December 10, 2025
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Summary
This summary is machine-generated.

We introduce a quantum geometric framework for molecular dynamics, revealing how electronic state geometry, not just energy, governs atomic motion in both adiabatic and nonadiabatic processes.

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Area of Science:

  • Quantum Chemistry
  • Theoretical Chemistry
  • Chemical Physics

Background:

  • Molecular reactive quantum dynamics are complex to model.
  • Existing methods struggle with singularities arising from nonanalytic electronic states.

Purpose of the Study:

  • To develop a unified and exact quantum geometric framework for molecular reactive quantum dynamics.
  • To unveil the critical roles of quantum geometry in adiabatic and nonadiabatic dynamics.

Main Methods:

  • Developed a numerically exact geometric quantum molecular dynamics method.
  • Employed discrete local trivialization of the projected electronic Hilbert space bundle.
  • Encoded the electronic quantum geometric tensor within the global electronic overlap matrix.

Main Results:

  • The framework eliminates singularities from nonanalytic adiabatic electronic states.
  • Atomic motion is governed by variations in electronic energies and electronic quantum geometry.
  • Demonstrated the critical role of quantum geometry in both adiabatic and nonadiabatic quantum dynamics.

Conclusions:

  • The developed method provides an exact and unified approach to quantum molecular dynamics.
  • The strategy of discrete local trivialization is applicable to broader quantum dynamics problems, including non-Hermitian systems and arbitrary fiber bundles.