The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics
Dario Feliciangeli, Robert Seiringer
TL;DR
This paper rigorously derives second-order quantum corrections to the ground-state energy of the Fr"ohlich polaron on a 3D torus in the strong-coupling limit, addressing challenges from translational symmetry.
Contribution
It provides the first proof of second-order quantum corrections for the polaron model on a torus, extending previous confined case results.
Findings
Established second-order quantum correction to the polaron energy
Addressed translational symmetry challenges in the analysis
Extended Pekar asymptotics to the torus setting
Abstract
We investigate the Fr\"ohlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.
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