Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides
| Autor: | Decamp, Jean, Armagnat, Pacome, Fang, Bess, Albert, Mathias, Minguzzi, Anna, Vignolo, Patrizia |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1367-2630/18/5/055011 |
| Popis: | We consider a mixture of one-dimensional strongly interacting Fermi gases 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. Comment: 14 pages, 2 figures, invited contribution to special issue in NJP in memory of Marvin Girardeau. New Journal of Physics 2016 |
| Databáze: | arXiv |
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