A density matrix approach to the dynamical properties of a two-site Holstein model
Strongly Correlated Electrons
2008-06-19 v1
Abstract
The two-site Holstein model represents a first non-trivial paradigm for the interaction between an itinerant charge with a quantum oscillator, a very common topic in different ambits. Exact results can be achieved both analytically and numerically, nevertheless it can be useful to compare them with approximate, semi-classical techniques in order to highlight the role of quantum effects. In this paper we consider the adiabatic limit in which the oscillator is very much slow than the electron. A density matrix approach is introduced for studying the charge dynamics and the exact results are compared with two different approximations: a Born-Oppenheimer-based Static Approximation for the oscillator (SA) and a Quantum-classical (QC) dynamics.
Keywords
Cite
@article{arxiv.0710.4096,
title = {A density matrix approach to the dynamical properties of a two-site Holstein model},
author = {Simone Paganelli and Sergio Ciuchi},
journal= {arXiv preprint arXiv:0710.4096},
year = {2008}
}