Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides. (18th May 2016)

• Record Type: Journal Article
• Authors: Decamp, Jean; Armagnat, Pacome; Fang, Bess; Albert, Mathias; Minguzzi, Anna; Vignolo, Patrizia
• Is Part Of: New journal of physics. Volume 18:Number 5(2016:May)
• Publication Date: 2016-05-18
• Subjects: one-dimensional systems -- strongly interacting Fermi gases -- Lieb–Mattis theorem; 0530-d -- 6785-d -- 6785Pq; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/18/5/055011
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: 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.