On the dynamics of polarons in the strong-coupling limit

The polaron model of H. Fr\"ohlich describes an electron coupled to the quantized longitudinal optical modes of a polar crystal. In the strong-coupling limit one expects that the phonon modes may be treated classically, which leads to a coupled Schr\"odinger-Poisson system with memory. For...

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Author: Griesemer, Marcel
Format: Article
Language:English
Subjects:
Computer memory
Coupling
Polarons
Online Access:Get full text
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Summary:The polaron model of H. Fr\"ohlich describes an electron coupled to the quantized longitudinal optical modes of a polar crystal. In the strong-coupling limit one expects that the phonon modes may be treated classically, which leads to a coupled Schr\"odinger-Poisson system with memory. For the effective dynamics of the electron this amounts to a nonlinear and non-local Schr\"odinger equation. We use the Dirac-Frenkel variational principle to derive the Schr\"odinger-Poisson system from the Fr\"ohlich model and we present new results on the accuracy of their solutions for describing the motion of Fr\"ohlich polarons in the strong-coupling limit. Our main result extends to \(N\)-polaron systems.
ISSN:2331-8422
DOI:10.48550/arxiv.1612.00395