Article Dans Une Revue Physical Review A Année : 2025

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.

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Dates et versions

hal-04928418 , version 1 (04-02-2025)
hal-04928418 , version 2 (23-11-2025)

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Jonas Lampart, Arnaud Triay. Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate. Physical Review A, 2025, 112, pp.053319. ⟨10.1103/3zd3-rxhp⟩. ⟨hal-04928418v2⟩
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