A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate

B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023).

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Hinrichs, BenjaminLibreCat ; Lampart, Jonas
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.
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arXiv:2311.05361
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Hinrichs B, Lampart J. A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate. arXiv:231105361. Published online 2023.
Hinrichs, B., & Lampart, J. (2023). A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate. In arXiv:2311.05361.
@article{Hinrichs_Lampart_2023, title={A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate}, journal={arXiv:2311.05361}, author={Hinrichs, Benjamin and Lampart, Jonas}, year={2023} }
Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate.” ArXiv:2311.05361, 2023.
B. Hinrichs and J. Lampart, “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate,” arXiv:2311.05361. 2023.
Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate.” ArXiv:2311.05361, 2023.

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