Jiang, Yuzhu; Guan, Xi-Wen; Cao, Junpeng; Lin, Hai-qing
Tuning interactions in the spin singlet and quintet channels of two colliding atoms could change the symmetry of the one-dimensional spin-3/2 fermionic systems of ultracold atoms while preserving the integrability. Here we find a novel SO(4) symmetry integrable point in the spin-3/2 Fermi gas and derive the exact solution of the model using the Bethe ansatz. In contrast to the model with SU(4) and SO(5) symmetries, the present model with SO(4) symmetry preserves spin singlet and quintet Cooper...[Show more]
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