Bogoliubov Theory in the Gross-Pitaevskii Limit

Spectral Methods in Mathematical Physics

24 January 15:30 - 16:30

Christian Brennecke - University of Zurich, UZH

We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of the order N−1(Gross-Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N→∞, confirming Bogoliubov’s predictions.
In the talk, I will present the general strategy of our proof and explain in particular how to remove our previous assumption of small interaction potential, recently obtained in arXiv:1812.03086. This is joint work with C. Boccato, S. Cenatiempo and B. Schlein.
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich


Rupert Frank


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