Quantum-Classical Nonadiabatic Dynamics: Coupled- vs Independent-Trajectory Methods

Federica Agostini, Seung Kyu Min*, Ali Abedi, E. K.U. Gross

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

115 Scopus citations

Abstract

Trajectory-based mixed quantum-classical approaches to coupled electron-nuclear dynamics suffer from well-studied problems such as the lack of (or incorrect account for) decoherence in the trajectory surface hopping method and the inability of reproducing the spatial splitting of a nuclear wave packet in Ehrenfest-like dynamics. In the context of electronic nonadiabatic processes, these problems can result in wrong predictions for quantum populations and in unphysical outcomes for the nuclear dynamics. In this paper, we propose a solution to these issues by approximating the coupled electronic and nuclear equations within the framework of the exact factorization of the electron-nuclear wave function. We present a simple quantum-classical scheme based on coupled classical trajectories and test it against the full quantum mechanical solution from wave packet dynamics for some model situations which represent particularly challenging problems for the above-mentioned traditional methods.

Original languageAmerican English
Pages (from-to)2127-2143
Number of pages17
JournalJournal of Chemical Theory and Computation
Volume12
Issue number5
DOIs
StatePublished - 10 May 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 American Chemical Society.

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