Some Integrable Systems in Nonlinear Quantum Optics

TL;DR

This paper explores integrable quantum optical systems linked to classical orthogonal polynomials, constructing related coherent states and demonstrating their applications in nonlinear quantum optics.

Contribution

It introduces a novel integration method for quantum optical systems associated with classical orthogonal polynomials and constructs their coherent states.

Findings

Successful integration of quantum optical systems related to classical orthogonal polynomials

Construction of coherent states for these systems

Presentation of applications demonstrating the systems' relevance

Abstract

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states related to these systems is constructed and described. Some applications are also presented.