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Statut |
Confirmé |
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Série |
SEM-INFOR |
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Domaines |
cond-mat |
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Date |
Lundi 19 Octobre 2026 |
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Heure |
11:30 |
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Institut |
DPT-PHYS-ENS |
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Salle |
New location: Collège de France. See details below. |
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Nom de l'orateur |
Le Borgne |
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Prenom de l'orateur |
Adèle |
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Addresse email de l'orateur |
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Institution de l'orateur |
University of Bern |
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Titre |
Beyond the Local Density Approximation, the world is a polynomial |
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Résumé |
The local-density approximation describes a trapped unitary Fermi gas using the equation of state of the homogeneous system. In a finite cloud, spatial variations of the density and pairing gap introduce corrections, which can be organized in a gradient expansion. But does adding more terms always improve the prediction? How many should we retain?
In this talk, I will address these questions using WKB methods at large-N. By truncating the gradient expansion at the optimal order, the error we make is exponentially small. We provide the optimal truncation for several traps and we show that the final result is a low-order polynomial up to an exponentially small correction. |
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Numéro de preprint arXiv |
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Commentaires |
To access the building, meet us at 11:25 at the reception of Collège de France.
(The talk will be in building E, 2nd floor, meeting room) |
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Fichiers attachés |
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