https://doi.org/10.1140/epjst/e2008-00737-4
A density matrix approach to the dynamical properties of a two-site Holstein model
1
Dipartimento di Fisica, Università dell'Aquila, via Vetoio, 67100 L'Aquila, Italy
2
CRS SMC, INFM-CNR, 00100 Roma, Italy
Corresponding authors: This email address is being protected from spambots. You need JavaScript enabled to view it. This email address is being protected from spambots. You need JavaScript enabled to view it.
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 slower 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.
© EDP Sciences, Springer-Verlag, 2008
