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arXiv · 0709.2273

Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap

Xia-Ji Liu·Hui Hu·Peter D. Drummond
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Abstract

Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound clusters or molecules that consist of more than two particles. Here we present a detailed study of a strongly interacting multi-component Fermi gas in a highly elongated or quasi-one-dimensional harmonic trap, which could be readily obtained in experiment. By using the exact Bethe ansatz solution and a local density approximation treatment of the harmonic trap, we investigate the equation of state of the multi-component Fermi gas in both a homogeneous and trapped environment, as well as the density profiles and low-energy collective modes. The binding energy of multi-component bound clusters is also given. We show that there is a peak in the collective mode frequency at the critical density for a deconfining transition to a many-body state that is analogous to the quark color superconductor state expected in neutron stars.

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Xia-Ji Liu, Hui Hu, Peter D. Drummond. 2008-02-11. Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap. https://doi.org/10.1103/physreva.77.013622

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