Yangian symmetry of the two-component Fermionic nonlinear Schrodinger model

Shuichi Murakami

Denis B. Uglov, V. E. Korepin

Chen Wang, P. G. Kevrekidis, N. Whitaker +1 more

Shuichi Murakami, Frank Göhmann

Shuichi Murakami

Shuichi Murakami, Miki Wadati

The quantum nonlinear Schrödinger model with two-component fermions exhibits a Yangian symmetry when considered on an infinite interval. We construct the generators of the Yangian using one representation of the degenerate affine Hecke algebra. We discuss the connection between the Yangian symmetry and 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.