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Comptes Rendus Physique
Volume 12, n° 1
pages 39-46 (janvier 2011)
Doi : 10.1016/j.crhy.2010.10.008
Fermionic trimers in spin-dependent optical lattices
Trimères fermioniques dans des réseaux optiques dépendants du spin
 

Giuliano Orso a, , Evgeni Burovski b , Thierry Jolicoeur b
a Laboratoire matériaux et phénomènes quantiques, université Paris Diderot–Paris 7 and CNRS, UMR 7162, 75205 Paris cedex 13, France 
b Laboratoire de physique théorique et modèles statistiques, université Paris–Sud, 91405 Orsay, France 

Corresponding author.
Abstract

We investigate the formation of three-body bound states (trimers) in two-component Fermi gases confined in a one-dimensional optical lattice with spin-dependent tunneling rates. The binding energy and the effective mass of the trimer are obtained from the solution of the Mattis integral equation generalized to the case of unequal Bloch masses. We show that this equation admits multiple solutions corresponding to excited bound states, which are only stable for large mass asymmetry.

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Résumé

Nous étudions les états liés à trois corps (trimères) dans un gaz de fermions à deux composantes, confiné dans un réseau optique unidimensionnel avec un couplage tunnel dépendant du spin. L'énergie de liaison et la masse effective des trimères sont obtenus par résolution de l'équation intégrale de Mattis généralisée au cas des masses de Bloch inégales. Nous montrons que cette équation admet des solutions multiples correspondant à des états liés excités, qui n'apparaissent que pour une différence de masse suffisamment grande.

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Keywords : Trimers, Bound states, Ultra-cold atoms

Mots-clés : Trimères, États liés, Atomes froids




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