The quantum non-linear Schrodinger model with point-like defect

TL;DR

This paper introduces a family of point-like impurities in the quantum non-linear Schrödinger model that preserve integrability, providing an exact solution via reflection-transmission algebra and analyzing key physical properties.

Contribution

It presents a novel construction of integrable point-like defects in the quantum non-linear Schrödinger model with an exact second quantized solution.

Findings

Preservation of quantum integrability with point-like impurities

Construction of exact solutions using reflection-transmission algebra

Analysis of space-time symmetry of the scattering matrix

Abstract

We establish a family of point-like impurities which preserve the quantum integrability of the non-linear Schrodinger model in 1+1 space-time dimensions. We briefly describe the construction of the exact second quantized solution of this model in terms of an appropriate reflection-transmission algebra. The basic physical properties of the solution, including the space-time symmetry of the bulk scattering matrix, are also discussed.