Exact solutions of an SO(5)-invariant spin-(3/2) Fermi gas modelYuzhu Jiang, Junpeng Cao and Yupeng Wang
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences Beijing 100190, PRC
received 2 March 2009; accepted in final form 22 June 2009; published July 2009
published online 24 July 2009
An exactly solvable model describing the dilute spin-(3/2) fermion gas in one-dimensional optical trap is proposed. The diagonalization of the model Hamiltonian is derived by means of the Bethe ansatz method. Exotic spin excitations such as the heavy spinon with fractional spin 3/2, the neutral spinon with spin zero and the dressed spinon with spin 1/2 are found basing on the exact solution.
02.30.Ik - Integrable systems.
03.75.Ss - Degenerate Fermi gases.
05.30.Fk - Fermion systems and electron gas.
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