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Area of Science:

  • Quantum chemistry
  • Computational physics
  • Chemical dynamics

Background:

  • Accurate quantum dynamics simulations are crucial for understanding electron transfer, energy transfer, and photochemical reactions.
  • Nonadiabatic processes in complex systems require reliable simulation methods.

Purpose of the Study:

  • To benchmark various approximate nonadiabatic dynamics methods against numerically exact tensor-train (TT) calculations.
  • To evaluate the performance of different methods across diverse model systems.

Main Methods:

  • Comparison of approximate methods (Ehrenfest, fewest-switches surface hopping, linearized semiclassical mapping, etc.) with exact TT-KSL and TT-thermofield dynamics.
  • Utilized model systems: spin-boson, linear vibronic coupling, retinal photoisomerization, and Tully's scattering models.

Main Results:

  • The optimal approximate nonadiabatic dynamics method is highly system-dependent.
  • Accuracy is sensitive to the zero-point-energy parameter and initial sampling of mapping variables.

Conclusions:

  • No single approximate method universally excels for all nonadiabatic dynamics simulations.
  • Careful selection of methods and parameters is essential for reliable quantum dynamics studies.