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Bogoliubov Excitations of dilute Bose-Einstein Condensates

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SRQW03 - Scaling limits & SPDEs: recent developments and future directions

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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