Dilute Bose gas with three-body interaction: recent results and open questions

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 Schrödinger 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.

Contribution to the Proceedings of ICMP, 2-7 August 2021, Geneva, Switzerland. 16 pages

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