# The polaron at strong coupling

@article{Seiringer2019ThePA, title={The polaron at strong coupling}, author={Robert Seiringer}, journal={arXiv: Mathematical Physics}, year={2019} }

We review old and new results on the Fr\"ohlich 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.

## 8 Citations

Ground state of the polaron hydrogenic atom in a strong magnetic field

- PhysicsJournal of Mathematical Physics
- 2018

The ground-state electron density of a polaron bound to a Coulomb potential in a homogeneous magnetic field--the transverse coordinates integrated out--converges pointwise and weakly in the strong…

Impurity immersed in a double Fermi sea

- Physics, Computer SciencePhysical Review A
- 2020

It is shown that in the strong-coupling regime, the system undergoes a first order transition between polaronic and trimer states, suggesting that the smooth crossover predicted for a superfluid background is the consequence of Cooper pairing and is absent in a normal system.

Landau–Pekar equations and quantum
fluctuations for the dynamics of a strongly coupled polaron

- PhysicsPure and Applied Analysis
- 2021

We consider the Frohlich Hamiltonian with large coupling constant $\alpha$. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding…

The Fr\"ohlich Polaron at Strong Coupling -- Part I: The Quantum Correction to the Classical Energy

- Physics
- 2022

. We study the Fr¨ohlich polaron model in R 3 , and establish the subleading term in the strong coupling asymptotics of its ground state energy, corresponding to the quantum corrections to the…

Principle and Applications of Multimode Strong Coupling Based on Surface Plasmons

- PhysicsNanomaterials
- 2022

In the past decade, strong coupling between light and matter has transitioned from a theoretical idea to an experimental reality. This represents a new field of quantum light–matter interaction,…

The effective mass problem for the Landau–Pekar equations

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

We provide a definition of the effective mass for the classical polaron described by the Landau–Pekar (LP) equations. It is based on a novel variational principle, minimizing the energy functional…

The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics

- Physics, MathematicsArchive for Rational Mechanics and Analysis
- 2021

We investigate the Fröhlich 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…

Quantum dynamics of a Bose polaron in a
d
-dimensional Bose-Einstein condensate

- Physics
- 2021

We study the quantum motion of an impurity atom immersed in a Bose-Einstein condensate in arbitrary dimensions. It was shown, for all dimensions, that the Bogoliubov excitations of the Bose-Einstein…

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