Coupled quasiparticle-boson systems: The semiclassical approximation and discrete nonlinear Schrödinger equation
- 1 August 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 52 (6) , R3824-R3827
- https://doi.org/10.1103/physrevb.52.r3824
Abstract
The validity of the semiclassical approximation is studied for a system comprising one quasiparticle coupled to a boson degree of freedom. Using a two-site Holstein model as an example, it is shown that the semiclassical approximation becomes exact in a nontrivial adiabatic limit. Furthermore, in the model’s polaron regime, there exists a hierarchy of time scales that rationalizes the quantum dynamics of the Holstein model. For the single-mode case considered, the discrete nonlinear Schrödinger equation is found to be valid only in a highly limited antiadiabatic regime.Keywords
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