The excitation spectrum of a dilute Bose gas with an impurity - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2024

The excitation spectrum of a dilute Bose gas with an impurity

Abstract

We study a dilute system of N interacting bosons coupled to an impurity particle via a pair potential in the Gross-Pitaevskii regime. We derive an expansion of the ground state energy up to order one in the boson number, and show that the difference of excited eigenvalues to the ground state is given by the eigenvalues of the renormalized Bogoliubov-Fröhlich Hamiltonian in the limit N → ∞.

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Dates and versions

hal-04727558 , version 1 (09-10-2024)

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Jonas Lampart, Arnaud Triay. The excitation spectrum of a dilute Bose gas with an impurity. 2024. ⟨hal-04727558⟩
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