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

2 mars 2022 @ 15:15 -16:15

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

 

https://teams.microsoft.com/l/meetup-join/19%3ae0d8264434a94a2e93fc6ae0fea08c92%40thread.tacv2/1645985098208?context=%7b%22Tid%22%3a%222fa58faf-7eb1-48b9-9964-a92659d1c5b8%22%2c%22Oid%22%3a%22cac978ae-4f05-466e-9520-2df38186dacf%22%7d
https://indico.math.cnrs.fr/event/7325/

Détails

Date :
2 mars 2022
Heure :
15:15 -16:15
Catégorie d’Évènement:
Site :
https://indico.math.cnrs.fr/event/7325/

Lieu

Salle 318
Salle 318 + Google Map
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indico-event-7325@indico.math.cnrs.fr
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ical
wpea_event_link:
https://indico.math.cnrs.fr/event/7325/

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