A Generalized Jaynes-Cummings Model: Nonlinear dynamical superalgebra $u(1/1)$ and Supercoherent states

TL;DR

This paper introduces a generalized Jaynes-Cummings model incorporating nonlinear effects, constructs its superalgebra and supercoherent states, and computes key physical quantities, advancing the understanding of nonlinear quantum optical systems.

Contribution

It presents a novel generalization of the Jaynes-Cummings model with nonlinear effects, explicitly constructs its superalgebra and supercoherent states, and calculates important physical quantities.

Findings

Construction of a nonlinear dynamical superalgebra $u(1/1)$

Explicit formulation of supercoherent states for the model

Calculation of total particles, energy, and atomic inversion

Abstract

The generalization of the Jaynes-Cummings (GJC) Model is proposed. In this model, the electromagnetic radiation is described by a Hamiltonian generalizing the harmonic oscillator to take into account some nonlinear effects which can occurs in the experimental situations. The dynamical superalgebra and supercoherent states of the related model are explicitly constructed. A relevant quantities (total number of particles, energy and atomic inversion) are computed.