Connection between Yangian symmetry and the quantum inverse scattering method

Abstract

The quantum nonlinear Schrodinger model with two-component fermions exhibits a Yangian symmetry when considered on an infinite interval. We construct the generators of the Yangian using Dunkl operators. We show an equivalence between the monodromy matrix constructed from the Dunkl operators and that of the quantum inverse scattering method. Under the Yangian algebra the space of states with a fixed particle number forms a tensor product representation of fundamental representations.