Bogoliubov excitation spectrum of dilute trapped Bose gases

Abstract: In 1947, Bogoliubov proposed an approximation for the low-lying eigenvalues of weakly interacting Bose gases and used that to explain Landau’s criterion for superfluidity. We will discuss a rigorous derivation of Bogoliubov’s approximation for a general trapped Bose gas in the Gross-Pitaevskii regime, where the two-body scattering process of particles leads to an interesting nonlinear effect. The talk is based on joint work with Arnaud Triay.

mathematical physics

Audience: researchers in the discipline

( video )

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