TL;DR
This paper reviews recent mathematical and physical insights into cold atomic gases, focusing on Bose-Einstein condensation, superfluidity, and related phenomena observed since 1995, highlighting equilibrium properties and underlying quantum mechanics.
Contribution
It summarizes recent mathematical progress in understanding equilibrium properties of dilute cold quantum gases from first principles.
Findings
Analysis of ground state energy and free energy at positive temperature
Impact of interparticle interactions on Bose-Einstein condensation temperature
Observation of superfluidity and quantized vortices in rotating gases
Abstract
Since the first experimental realization of Bose-Einstein condensation in cold atomic gases in 1995 there has been a surge of activity in this field. Ingenious experiments have allowed us to probe matter close to zero temperature and reveal some of the fascinating effects quantum mechanics has bestowed on nature. It is a challenge for mathematical physicists to understand these various phenomena from first principles, that is, starting from the underlying many-body Schr\"odinger equation. Recent progress in this direction concerns mainly equilibrium properties of dilute, cold quantum gases. We shall explain some of the results in this article, and describe the mathematics involved in understanding these phenomena. Topics include the ground state energy and the free energy at positive temperature, the effect of interparticle interaction on the critical temperature for Bose-Einstein…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.