Statut | Confirmé |
Série | CONDMAT-ENS |
Domaines | cond-mat |
Date | Mardi 1 Fevrier 2011 |
Heure | 10:45 |
Institut | LPS/ENS |
Salle | Conf. IV (E244) |
Nom de l'orateur | Minguzzi |
Prenom de l'orateur | Anna |
Addresse email de l'orateur | minguzzi [at] grenoble [dot] cnrs [dot] fr |
Institution de l'orateur | Laboratoire de Physique et Modelisation des Milieux Condenses, Grenoble |
Titre | One-dimensional Bose-Fermi mixtures with strong repulsions |
Résumé | Progress in trapping and cooling of ultracold atomic gases allows to produce quasi-onedimensional systems with tunable interaction strength. A peculiarity of such systems is the inhomogeneity of the external confining potential which has to be taken into account in the theory. In the limit of infinitely strong repulsions among bosons (Tonks-Girardeau regime) an exact solution for the many-body wavefunction of the inhomogeneous system is known and allows to extract several physical observables. We have recently generalized such a solution to the case of a trapped mixture of bosons (B) and fermions (F) with very strong repulsive BB and BF repulsions. Such a model displays a large degeneracy of the ground state. I will report on the solution for the whole set of ground-state wavefunctions of the degenerate manifold and their characterization according to group-symmetry considerations. I will present the calculation of some equilibrium observables (density profiles, momentum distributions) and make the link with the Bethe-Ansatz solution of the homogeneous system at finite repulsions. |
Numéro de preprint arXiv | |
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