# Quantum corrections to the Pekar asymptotics of a strongly coupled polaron

## TL;DR

This paper investigates quantum fluctuations around the classical Pekar energy in the strongly coupled polaron model, providing the subleading correction to the ground state energy in a confined setting.

## Contribution

It establishes the quantum correction to the Pekar asymptotics for a confined polaron, extending the classical understanding to include quantum fluctuations.

## Key findings

- Derived the subleading quantum correction to the Pekar energy
- Applied the proof to a finite volume confined polaron model
- Enhanced the understanding of quantum effects in strong coupling regimes

## Abstract

We consider the Fr\"ohlich polaron model in the strong coupling limit. It is well known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.