Yangian symmetry in the Non Linear Schrodinger hierarchy

TL;DR

This paper investigates the Yangian symmetry structure within the multicomponent Quantum Nonlinear Schrödinger hierarchy using the Quantum Inverse Scattering Method, providing explicit algebraic realizations.

Contribution

It introduces an explicit realization of Yangian generators via deformed oscillators algebra in the Quantum Nonlinear Schrödinger hierarchy.

Findings

Explicit Yangian generator realization in terms of deformed oscillators

Demonstration of Yangian symmetry in the hierarchy

Framework applicable to multicomponent systems

Abstract

We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrodinger hierarchy in the framework of the Quantum Inverse Scattering Method. We give an explicit realization of the Yangian generators in terms of the deformed oscillators algebra which naturally occurs in this framework.