The Polaron at Strong Coupling

Abstract

We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass.

Contribution to the proceeding of QMath14: Mathematical Results in Quantum Physics; final version

References in corpus (2)

• Rotation of quantum impurities in the presence of a many-body environment
• Effective mass of the polaron -- revisited

Cited by in corpus (8)

• Quantum dynamics of Bose-polaron in a $d$-dimensional Bose Einstein condensate
• Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
• An impurity immersed in a double Fermi Sea
• The Fröhlich Polaron at Strong Coupling -- Part I: The Quantum Correction to the Classical Energy
• The effective mass problem for the Landau-Pekar equations
• The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics
• A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
• Asymptotic series for low-energy excitations of the Fröhlich Polaron at strong coupling