Spinor Bose gases in one dimension are described by quantum integrable m by n matrix extensions of the nonlinear Schrödinger model, with Bethe equations and thermodynamic integral equations derived for arbitrary spin and specifically for spin-1 cases.
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Dark states unaffected by decentered interactions create exactly solvable subspaces in a nonintegrable 1D box-trap model for bosons and fermions.
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Quantum integrable matrix models of spinor Bose gases in one spatial dimension
Spinor Bose gases in one dimension are described by quantum integrable m by n matrix extensions of the nonlinear Schrödinger model, with Bethe equations and thermodynamic integral equations derived for arbitrary spin and specifically for spin-1 cases.
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Partial solvability induced by dark states in a box trap with decentered two-body interaction
Dark states unaffected by decentered interactions create exactly solvable subspaces in a nonintegrable 1D box-trap model for bosons and fermions.