Dynamics of a one-dimensional Holstein polaron with Davydov Ansatze

• Main Authors: Zhao, Yang, Sun, Jin, Luo, Bin
• Other Authors: School of Materials Science & Engineering
• Format: Article
• Language: English
• Published: 2010
• Subjects: DRNTU::Science::Physics::Atomic physics::Properties of matter and antimatter
• Online Access: https://hdl.handle.net/10356/91744; http://hdl.handle.net/10220/6296
• Institution: Nanyang Technological University

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.