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Area of Science:

  • Computational Chemistry
  • Quantum Dynamics
  • Theoretical Chemistry

Background:

  • Simulating electronically nonadiabatic dynamics is crucial for understanding chemical reactions.
  • Existing methods often struggle with systems involving more than two electronic states.
  • The mapping approach to surface hopping (MASH) is a recent advancement.

Purpose of the Study:

  • To develop a multi-state generalization of the MASH method.
  • To extend MASH for simulating systems with over two electronic states.
  • To ensure the new method is size consistent and recovers the two-state MASH.

Main Methods:

  • Developed a multi-state generalization of the mapping approach to surface hopping (MASH).
  • Applied the new method to various model systems with known benchmark results.
  • Focused on simulations of electronically nonadiabatic dynamics.

Main Results:

  • The multi-state MASH method accurately simulates systems with multiple electronic states.
  • The approach is size consistent.
  • It rigorously recovers the original two-state MASH in the correct limits.
  • Demonstrated accuracy against exact benchmark results.

Conclusions:

  • The developed multi-state MASH is a powerful tool for simulating complex photochemical relaxation processes.
  • This method provides a reliable approach for studying nonadiabatic dynamics in larger systems.
  • The generalization maintains key advantages of the original MASH approach.