Dilute Bose gas with three-body interaction: recent results and open questions
Mathematical Physics
2023-09-12 v3 math.MP
Abstract
We review our recent study on the ground state energy of dilute Bose gases with three-body interactions. The main feature of our results is the emergence of the 3D energy-critical Schr\"odinger equation to describe the ground state energy of a Bose-Einstein condensate, where the nonlinearity strength is determined by a zero scattering problem. Several open questions will also be discussed.
Keywords
Cite
@article{arxiv.2202.13967,
title = {Dilute Bose gas with three-body interaction: recent results and open questions},
author = {Phan Thành Nam and Julien Ricaud and Arnaud Triay},
journal= {arXiv preprint arXiv:2202.13967},
year = {2023}
}
Comments
Contribution to the Proceedings of ICMP, 2-7 August 2021, Geneva, Switzerland. 16 pages