Large-scale limits of interacting particle systems

Collection Large-scale limits of interacting particle systems

Organizer(s) Mitia Duerinckx, Sergio Simonella, and Raphael Winter
Date(s) 04/10/2021 - 08/10/2021
linked URL'21.html
00:00:00 / 00:00:00
10 16

Universal behavior of Bose-Einstein condensates in the Gross-Pitaevskii regime

By Serena Cenatiempo

We consider systems of N interacting bosons in the Gross-Pitaevskii limit, where both the range and the scattering length of the potential are of the order 1/N, and N tends to infinity. We present recent tools allowing to determine the low-energy spectrum up to errors that vanish in the limit of large N. As a result, we rigorously confirm the validity of Bogoliubov's 1947 theory, predicting the independence of the low energy behavior of dilute Bose gases on the fine details of the interaction. We finally discuss how this universality result also extends to different scaling regimes and dimensionalities.

Based on joint works with G. Basti, C. Boccato, C.Brennecke, C. Caraci, and B.Schlein.

Information about the video

  • Date of recording 06/10/2021
  • Date of publication 12/10/2021
  • Institution IHES
  • Language English
  • Director(s) Mandarine Audiovisuel
  • Format MP4

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