Dynamics of a one-dimensional Holstein polaron with Davydov Ansatze

Following the Dirac-Frenkel time-dependent variational principle, dynamics of a one-dimensional Holstein polaron is probed by employing the Davydov D2 Ansatz with two sets of variational parameters, one for each constituting particle in the exciton-phonon system, and a simplified variant of the Davyd...

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Bibliographic Details
Main Authors: Zhao, Yang, Sun, Jin, Luo, Bin
Other Authors: School of Materials Science & Engineering
Format: Article
Language:English
Published: 2010
Subjects:
Online Access:https://hdl.handle.net/10356/91744
http://hdl.handle.net/10220/6296
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Institution: Nanyang Technological University
Language: English
Description
Summary:Following the Dirac-Frenkel time-dependent variational principle, dynamics of a one-dimensional Holstein polaron is probed by employing the Davydov D2 Ansatz with two sets of variational parameters, one for each constituting particle in the exciton-phonon system, and a simplified variant of the Davydov D1 Ansatz, also known as the D Ansatz, with an additional set of phonon displacement parameters. A close examination of variational outputs from the two trial states reveals fine details of the polaron structure and intricacies of dynamic exciton-phonon interactions. Superradiance coherence sizes, speeds of exciton-induced phonon wave packets, linear optical absorption, and polaron energy compositions are also included in the study.