Mathematical Physics
[Submitted on 9 Nov 2023
(v1)
, last revised 3 Feb 2025 (this version, v2)]
Title: A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
Title: 杂质在玻色-爱因斯坦凝聚体中的临界动量的下限
Abstract: In the Bogoliubov-Fr\"ohlich 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.
Submission history
From: Benjamin Hinrichs [view email][v1] Thu, 9 Nov 2023 13:40:31 UTC (23 KB)
[v2] Mon, 3 Feb 2025 13:53:41 UTC (23 KB)
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