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Claude Cohen Tannoudji

Prix Nobel en 1997 pour le ralentissement et le piégeage des atomes par la lumière laser.

Ses travaux sont à la source des recherches actuelles de l'IFRAF.



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Accueil du site > Séminaires > IFRAF > Séminaire atomes froids : « 1D and 2D Bose-Hubbard models » par Bogdan Damski (Jagiellonian University, Krakow)

Séminaire atomes froids : « 1D and 2D Bose-Hubbard models » par Bogdan Damski (Jagiellonian University, Krakow)

Mercredi 8 février 2017 à 13h30, salle L 363, 24 rue Lhomond 75005 Paris

Résumé

Bose-Hubbard models capture physics of cold atoms in optical lattices. Despite their simplicity, they are not exactly analytically solvable in any dimension.

In the first part of the talk, I will discuss basic properties of the 1D Bose-Hubbard model focusing on physically meaningful observables such as the ground state energy, the variance of on-site atom number occupation, and the nearest-neighbor correlation function. I will present analytical results coming from very high-order perturbative expansions and carefully compare them to numerical simulations.

In the second part of the talk, I will show how the position of the critical point of the 2D Bose-Hubbard model can be efficiently obtained from the variance of on-site atom number occupation and the nearest-neighbor correlation function. The analogies between the experimental studies of the lambda transition in liquid helium-4 and our theoretical studies of the superfluid-Mott insulator transition of the 2D Bose-Hubbard model will be discussed.

Voir en ligne : http://www.phys.ens.fr/seminaire_at...