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 Schrödinger 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 condensation, as well as the occurrence of superfluidity and quantized vortices in rapidly rotating gases.
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ICMP: International Congress on Mathematical Physics
Seiringer R. Hot topics on cold gases. In: World Scientific Publishing; 2010:231-245. doi:10.1142/9789814304634_0013
Seiringer, R. (2010). Hot topics on cold gases (pp. 231–245). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814304634_0013
Seiringer, Robert. “Hot Topics on Cold Gases,” 231–45. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0013.
R. Seiringer, “Hot topics on cold gases,” presented at the ICMP: International Congress on Mathematical Physics, 2010, pp. 231–245.
Seiringer R. 2010. Hot topics on cold gases. ICMP: International Congress on Mathematical Physics 231–245.
Seiringer, Robert. Hot Topics on Cold Gases. World Scientific Publishing, 2010, pp. 231–45, doi:10.1142/9789814304634_0013.