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Bogoliubov Excitations of dilute Bose-Einstein Condensates

Presented by: 
Benjamin Schlein Universität Zürich
Date: 
Monday 10th December 2018 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
We consider systems of N bosons confined in a box with volume one and interacting through a potential with
short scattering length of the order 1/N (Gross-Pitaevskii regime). We determine the low-energy spectrum, i.e. the
ground state energy and low-lying excitations, up to errors that vanishes in the limit of large N, confirming
the validity of Bogoliubov’s predictions. This talk is based on joint work with C. Boccato, C. Brennecke, S. Cenatiempo.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons