A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
arXiv:2311.05361 · doi:10.5802/crmath.652
Abstract
In the Bogoliubov-Fröhlich model, we prove that an impurity immersed in a Bose-Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound. The system thus exhibits superfluid behavior, as this quasi-particle does not experience friction. We do not assume any infrared or ultraviolet regularization of the model, which contains massless excitations and point-like interactions.
arXiv comment10 pages, version accepted for publication in Comptes Rendus Mathématique
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