161 research outputs found
Exotic pairing in 1D spin-3/2 atomic gases with symmetry
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 symmetry integrable point in thespin-3/2 Fermi gas and derive the
exact solution of the model using the Bethe ansatz. In contrast to the model
with and symmetries, the present model with symmetry
preserves spin singlet and quintet Cooper pairs in two sets of spin subspaces. We obtain full phase diagrams, including the
Fulde-Ferrel-Larkin-Ovchinnikov like pair correlations, spin excitations and
quantum criticality through the generalized Yang-Yang thermodynamic equations.
In particular, various correlation functions are calculated by using
finite-size corrections in the frame work of conformal field theory. Moreover,
within the local density approximation, we further find that spin singlet and
quintet pairs form subtle multiple shell structures in density profiles of the
trapped gas.Comment: 8 figures, 2 tables, 37 page
Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
The nested off-diagonal Bethe ansatz method is proposed to diagonalize
multi-component integrable models with generic integrable boundaries. As an
example, the exact solutions of the su(n)-invariant spin chain model with both
periodic and non-diagonal boundaries are derived by constructing the nested T-Q
relations based on the operator product identities among the fused transfer
matrices and the asymptotic behavior of the transfer matrices.Comment: Published versio
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