| Issue |
EPL
Volume 87, Number 1, July 2009
|
|
|---|---|---|
| Article Number | 10006 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/87/10006 | |
| Published online | 24 July 2009 | |
Exact solutions of an SO(5)-invariant spin-(3/2) Fermi gas model
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences Beijing 100190, PRC
Corresponding author: yupeng@aphy.iphy.ac.cn
Received:
2
March
2009
Accepted:
22
June
2009
An exactly solvable model describing the dilute spin-(
) 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 , the neutral spinon with spin zero and the dressed spinon with spin 
are found basing on the exact solution.
PACS: 02.30.Ik – Integrable systems / 03.75.Ss – Degenerate Fermi gases / 05.30.Fk – Fermion systems and electron gas
© EPLA, 2009
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