Fast, accurate simulation of polaron dynamics and multidimensional spectroscopy by multiple Davydov trial states

Abstract

By employing the Dirac-Frenkel time-dependent variational principle, we study the dynamical properties of the Holstein molecular crystal model with diagonal and off-diagonal exciton-phonon coupling. A linear combination of the Davydov D${}_1$ (D${}_2$) Anstaz, referred to as the multi-D${}_1$ Ansatz (multi-D${}_2$ Ansatz), is used as the trial state with enhanced accuracy but without sacrificing efficiency. The time evolution of the exciton probability is found to be in perfect agreement with that of the hierarchy equations of motion, demonstrating the promise the multiple Davydov trial states hold as an efficient, robust description of dynamics of complex quantum systems. In addition to the linear absorption spectra computed for both diagonal and off-diagonal cases, for the first time, $2$D spectra have been calculated for systems with off-diagonal exciton-phonon coupling by employing the multiple $D_2$ Ansatz to compute the nonlinear response function, testifying to the great potential of the multiple $D_2$ Ansatz for fast, accurate implementation of multidimensional spectroscopy. It is found that the signal exhibits a single peak for weak off-diagonal coupling, while a vibronic multi-peak structure appears for strong off-diagonal coupling.

16 pages, 14 figures

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• On-the-fly ab initio semiclassical evaluation of third-order response functions for two-dimensional electronic spectroscopy
• Transient dynamics of a one-dimensional Holstein polaron under the influence of an external electric field
• Exciton Transfer in Organic Photovoltaic Cells: A Role of Local and Nonlocal Electron-Phonon Interactions in a Donor Domain
• Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode
• Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
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