Work

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

Year: 2025

Type: article

Abstract: 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-Fr\"ohlich 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.

Source: Physical Review A

DOI: 10.1103/3zd3-rxhp

Authors: Jonas Lampart, Arnaud Triay

Institutions: Centre National de la Recherche Scientifique, Université de Bourgogne, Laboratoire Interdisciplinaire Carnot de Bourgogne, Ludwig-Maximilians-Universität München

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche