Effective mass of the Polaron: a lower bound

Abstract

We show that the effective mass of the Fröhlich Polaron is bounded below by $c{\alpha }^{2/5}$ for some constant $c>0$ and for all coupling constants $\alpha$. The proof uses the point process representation of the path measure of the Fröhlich Polaron.

References in corpus (4)

• Erratum: Exact Ground State Energy of the Strong-Coupling Polaron
• Divergence of the effective mass of a polaron in the strong coupling limit
• Effective mass of the polaron -- revisited
• Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times

Cited by in corpus (4)

• The Fröhlich Polaron at Strong Coupling -- Part I: The Quantum Correction to the Classical Energy
• Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
• On the global minimum of the energy-momentum relation for the polaron
• Asymptotic series for low-energy excitations of the Fröhlich Polaron at strong coupling