Symmetrical windowing for quantum states in quasi-classical trajectory simulations: application to electronically...

Area of Science:

• Chemical Physics
• Computational Chemistry
• Quantum Dynamics

Background:

• Electronically non-adiabatic dynamics are crucial in chemical reactions.
• Accurate simulation of these dynamics often requires computationally expensive quantum mechanical methods.
• Classical trajectory methods offer a computationally efficient alternative but often struggle with accuracy, especially when coherence effects are present.

Purpose of the Study:

• To apply a recently developed symmetrical windowing methodology to the Meyer-Miller model for simulating electronically non-adiabatic dynamics.
• To assess the accuracy of this classical approach by comparing its results with accurate quantum mechanical calculations.
• To evaluate the method's performance on systems exhibiting significant coherence effects.

Main Methods:

• Application of the symmetrical windowing methodology to the Meyer-Miller model.
• Quasi-classical trajectory simulations were performed.
• Comparison of simulation results with established quantum mechanical results for various test cases.

Main Results:

• The symmetrical windowing quasi-classical trajectory method demonstrated very good agreement with accurate quantum mechanical results.
• The method performed well across a variety of test applications.
• Successful simulation of challenging systems, such as the asymmetric spin-boson system, where coherence effects are significant.

Conclusions:

• The symmetrical windowing methodology provides a highly accurate classical approach for simulating electronically non-adiabatic dynamics.
• This method offers a computationally viable alternative to quantum mechanical calculations for systems with significant coherence.
• The approach is robust and applicable to complex chemical dynamics problems.