A density matrix approach to the dynamical properties of a two-site Holstein model

Details A density matrix approach to the dynamical properties of a two-site Holstein model A density matrix approach to the dynamical properties of a two-site Holstein model

2007-10-22

arxiv.org/abs/0710.4096v1

Eur. Phys. J. ST 160, 343 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1140/epjst/e2008-00737-4

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.

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