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Article Dans Une Revue New Journal of Physics Année : 2016

Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides

Résumé

We consider a mixture of one-dimensional strongly interacting Fermi gases with up to six components, subjected to a longitudinal harmonic confinement. In the limit of infinitely strong repulsions we provide an exact solution which generalizes the one for the two-component mixture. We show that an imbalanced mixture under harmonic confinement displays partial spatial separation among the components, with a structure which depends on the relative population of the various components. Furthermore, we provide a symmetry characterization of the ground and excited states of the mixture introducing and evaluating a suitable operator, namely the conjugacy class sum. We show that, even under external confinement, the gas has a definite symmetry which corresponds to the most symmetric one compatible with the imbalance among the components. This generalizes the predictions of the Lieb–Mattis theorem for a Fermionic mixture with more than two components.
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hal-01339365 , version 1 (29-06-2016)

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Jean Decamp, Pacome Armagnat, Bess Fang, Mathias Albert, Anna Minguzzi, et al.. Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides. New Journal of Physics, 2016, 18, pp.055011. ⟨10.1088/1367-2630/18/5/055011⟩. ⟨hal-01339365⟩
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