Transient dynamics of a one-dimensional Holstein polaron under the influence of an external electric field

Abstract

Following the Dirac-Frenkel time-dependent variational principle, transient dynamics of a one-dimensional Holstein polaron with diagonal and off-diagonal exciton-phonon coupling in an external electric field is studied by employing the multi-D${}_2$ {\it Ansatz}, also known as a superposition of the usual Davydov D${}_2$ trial states. Resultant polaron dynamics has significantly enhanced accuracy, and is in perfect agreement with that derived from the hierarchy equations of motion method. Starting from an initial broad wave packet, the exciton undergoes typical Bloch oscillations. Adding weak exciton-phonon coupling leads to a broadened exciton wave packet and a reduced current amplitude. Using a narrow wave packet as the initial state, the bare exciton oscillates in a symmetric breathing mode, but the symmetry is easily broken by weak coupling to phonons, resulting in a non-zero exciton current. For both scenarios, temporal periodicity is unchanged by exciton-phonon coupling. In particular, at variance with the case of an infinite linear chain, no steady state is found in a finite-sized ring within the anti-adiabatic regime. For strong diagonal coupling, the multi-${\mathrm{D}}_2$ {\it Anstaz} is found to be highly accurate, and the phonon confinement gives rise to exciton localization and decay of the Bloch oscillations.

References in corpus (10)

• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Fast, accurate simulation of polaron dynamics and multidimensional spectroscopy by multiple Davydov trial states
• Variational dynamics of the sub-Ohmic spin-boson model on the basis of multiple Davydov ${\mathrm{D}}_1$ states
• Polaron dynamics with a multitude of Davydov D${}_2$ trial states
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Electron motion in a Holstein molecular chain in an electric field
• Stable Bloch oscillations of cold atoms with time-dependent interaction
• Bloch oscillations of a soliton in a molecular chain
• Bloch dynamics in lattices with long range hoppings
• Phonon-assisted carrier motion on the Wannier-Stark ladder

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• Long-Range Non-Equilibrium Coherent Tunneling Induced by Fractional Vibronic Resonances
• Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model
• Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
• Phonon-assisted coherent transport of excitations in Rydberg-dressed atom arrays
• Dependence of the nature of the Holstein polaron motion in a polynucleotide chain subjected to a constant electric field on the initial polaron state and the parameters of the chain
• Thermalization of open quantum systems using the multiple-Davydov-D2 variational approach
• Charge Motion along Polynucleotide Chains in a Constant Electric Field Depends on the Charge Coupling Constant with Chain Displacements