2007/10/22 by Simone Paganelli, S. Ciuchi, Sergio Ciuchi
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1140/epjst/e2008-00737-4
published as Eur. Phys. J. ST 160, 343 (2008)
arxiv created 2007/10/22 · openalex publication_date 2008/06/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.