Pré-Publication, Document De Travail Année : 2024

Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate

Résumé

We analyze the many-body Hamiltonian describing a mobile impurity immersed in a Bose-Einstein condensate (BEC). Using exact unitary transformations and rigorous error estimates, we show the validity of the Bogoliubov-Fröhlich Hamiltonian for the Bose polaron in the regime of moderately strong, repulsive interactions with a dilute BEC. Moreover, we calculate analytically the universal logarithmic correction to the ground state energy that arises from an impurity mediated phonon-phonon interaction.
Fichier principal
Vignette du fichier
2411.11655v2.pdf (186) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04928418 , version 1 (04-02-2025)

Identifiants

Citer

Jonas Lampart, Arnaud Triay. Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate. 2025. ⟨hal-04928418⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

More