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Arnaud Triay: The excitation spectrum of a dilute Bose gas in the Gross-Pitaevskii regime: the trapped case

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mercredi 02 mars 2022 mercredi 02 mars 2022
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I will discuss a recent result about the excitation spectrum of a dilute Bose gas. We start from the microscopic many-body Hamiltonian H_N of quantum mechanics and derive Bogoliubov’s prediction for the first eigenvalues of H_N in the Gross—Pitaevskii regime for the inhomogeneous case (with an external field). We show that in this limit, the Hamiltonian H_N can be well approximated to the second order by a quadratic Hamiltonian describing a system of non-interacting quasi-particles.
This is joint work with P.T. Nam


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