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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Theoretical Chemistry

Background:

  • Surface hopping simulations are crucial for modeling quantum dynamics.
  • Traditional methods like fewest switches surface hopping (FSSH) suffer from overcoherence.
  • Accurate density matrix construction is essential for reliable simulation results.

Purpose of the Study:

  • To develop a consistent density matrix construction method for surface hopping trajectories.
  • To address and correct the overcoherence problem in quantum dynamics simulations.
  • To improve the accuracy of calculating adiabatic populations and coherence.

Main Methods:

  • Proposed a density matrix construction method utilizing occupation of active states.
  • Rescaled coherence calculated by wave functions to ensure density matrix consistency.
  • Applied the method to both Tully's fewest switches surface hopping (FSSH) and branching corrected surface hopping (BCSH).

Main Results:

  • The new method ensures intrinsic consistency of the density matrix.
  • Combined with BCSH, it accurately reproduces time-dependent spatial distributions.
  • Achieved highly accurate adiabatic populations and coherence compared to exact quantum results in benchmark models.

Conclusions:

  • The proposed density matrix construction method offers a significant improvement for surface hopping simulations.
  • This approach enhances the reliability and accuracy of quantum dynamics modeling.
  • It provides a robust tool for studying complex chemical processes.