Validity of time-dependent trial states for the Holstein Polaron

• Main Authors: Luo, Bin, Ye, Jun, Guan, Chengbo, Zhao, Yang
• 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/10356/91334; http://hdl.handle.net/10220/6304
• Institution: Nanyang Technological University

Validity of three time-dependent trial states for the Holstein Hamiltonian, namely, the D2, Merrifield and D Ansatze has been examined in detail with regards to their deviations from the exact solution to the time-dependent Schrodinger equation. Linear absorption spectra are also calculated as an additional indicator of the Ansatz validity. It is found that the D Ansatz is the most accurate trial state of the three, and all Ansatze fail to provide an adequate description of system dynamics in the weak-coupling regime.