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Path-integral simulations beyond the adiabatic approximation.

J R Schmidt¹, John C Tully

¹Department of Chemistry, Yale University, New Haven, Connecticut 06520, USA.

The Journal of Chemical Physics

|September 11, 2007

Summary

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This study presents a new path-integral method for simulating molecular systems, incorporating nonadiabatic effects without the adiabatic approximation. This approach allows for more accurate simulations of complex quantum dynamics using classical isomorphic systems.

Area of Science:

Quantum chemistry
Computational physics
Chemical dynamics

Background:

Standard imaginary time path-integral methods are limited to the adiabatic approximation.
Nonadiabatic effects are crucial for accurately describing many chemical processes.

Purpose of the Study:

To develop a path-integral technique that includes nonadiabatic effects.
To enable simulations of systems with multiple electronic surfaces beyond the adiabatic approximation.

Main Methods:

Reformulation of path-integral expressions to incorporate multiple potential surfaces.
Development of a classical isomorphic system for simulation.
Derivation of expressions for computing expectation values.

Main Results:

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The reformulated method successfully incorporates nonadiabatic effects.
The method is amenable to Monte Carlo simulations.
An internal diagnostic for nonadiabatic effects was demonstrated.

Conclusions:

The new path-integral approach provides a powerful tool for studying quantum dynamics with nonadiabatic couplings.
This method enhances the accuracy of simulations for complex molecular systems.
It offers a practical way to assess the significance of nonadiabatic effects in equilibrium systems.