Physics – Condensed Matter – Superconductivity
Scientific paper
2007-09-14
Phys. Rev. A 77, 013622 (2008)
Physics
Condensed Matter
Superconductivity
14 pages, 9 figures
Scientific paper
10.1103/PhysRevA.77.013622
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.
Drummond Peter D.
Hu Hui
Liu Xia-Ji
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