# The linear and nonlinear Jaynes-Cummings model for the multiphoton transition

## TL;DR

This paper investigates the quantum entanglement dynamics in the multiphoton Jaynes-Cummings model, analyzing how initial states, photon number, quantum discord, and nonlinearity influence entanglement, with implications for quantum computing.

## Contribution

It introduces a detailed analysis of entanglement evolution in the nonlinear multiphoton Jaynes-Cummings model, highlighting the effects of various parameters on quantum entanglement.

## Key findings

- Entanglement varies with initial superposition coefficient $C_{1}$.
- Photon number $N$ significantly affects entanglement dynamics.
- Nonlinear coefficient $$ influences the degree and evolution of entanglement.

## Abstract

With the Jaynes-Cummings model, we have studied the atom and light field quantum entanglement of multiphoton transition, and researched the effect of initial state superposition coefficient $C_{1}$, the transition photon number $N$, the quantum discord $\delta$ and the nonlinear coefficient $\chi$ on the quantum entanglement degrees. We have given the quantum entanglement degrees curves with time evolution, and obtained some results, which should have been used in quantum computing and quantum information.