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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Chemical Dynamics

Background:

  • Fewest switches surface hopping (FSSH) methods suffer from overcoherence, limiting accuracy in nonadiabatic dynamics.
  • Adiabatic populations from wave functions are often less reliable than those from active states.
  • A complete description of nonadiabatic dynamics necessitates the use of the density matrix.

Purpose of the Study:

  • Introduce a novel auxiliary branching corrected surface hopping (A-BCSH) method.
  • Address the overcoherence problem in surface hopping simulations.
  • Enable reliable density matrix calculations from wave functions in nonadiabatic dynamics.

Main Methods:

  • Developed the A-BCSH method by incorporating auxiliary wave packets (WPs) on adiabatic potential energy surfaces for trajectory branching.
  • Characterized both rapid and gradual separation of WP components to capture accurate decoherence times.
  • Validated the method using three standard Tully models.

Main Results:

  • A-BCSH demonstrates excellent internal consistency, yielding comparable adiabatic populations from both wave functions and active states.
  • The method successfully captures reliable time-dependent spatial distributions of the density matrix.
  • Achieved accurate decoherence time calculations along each trajectory.

Conclusions:

  • A-BCSH provides a significant improvement over traditional FSSH methods by mitigating overcoherence.
  • The method offers a promising new perspective for developing more consistent surface hopping techniques.
  • Enables reliable wave function-based calculations of the density matrix for nonadiabatic dynamics.