Quasi-classical approaches to vibronic spectra revisited

Abstract

The framework to approach quasi-classical dynamics in the electronic ground state is well established and is based on the Kubo-transformed time correlation function (TCF), being the most classical-like quantum TCF. Here we discuss whether the choice of the Kubo-transformed TCF as a starting point for simulating vibronic spectra is as unambiguous as it is for vibrational ones. A generalized quantum TCF is proposed that contains many of the well-established TCFs as particular cases. It provides a framework to develop numerical protocols for simulating vibronic spectra via quasi-classical trajectory-based methods that allow for dynamics on many potential energy surfaces and nuclear quantum effects. The performance of the methods based on the well-known TCFs is investigated on 1D anharmonic model systems at finite temperatures. The flexibility inherent to the formulation of the generalized TCF provides a route to construct new TCFs that may lead to better numerical protocols as is shown on the same models.

12 pages, 6 figures

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Cited by in corpus (5)

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• Semiclassical instanton formulation of Marcus-Levich-Jortner theory
• Simulating vibronic spectra via Matsubara dynamics: coping with the sign problem
• Microscopic Theory of Polaron-Polariton Dispersion and Propagation