Tavis-Cummings Model with Moving Atoms.

Sayed Abdel-Khalek,Eied M Khalil,Abdel-Shafy F Obada,Esraa Reda,Hichem Eleuch,Kamal Berrada

doi:10.3390/e23040452

Abstract

In this work, we examine a nonlinear version of the Tavis–Cummings model for two two-level atoms interacting with a single-mode field within a cavity in the context of power-law potentials. We consider the effect of the particle position that depends on the velocity and acceleration, and the coupling parameter is supposed to be time-dependent. We examine the effect of velocity and acceleration on the dynamical behavior of some quantumness measures, namely as von Neumann entropy, concurrence and Mandel parameter. We have found that the entanglement of subsystem states and the photon statistics are largely dependent on the choice of the qubit motion and power-law exponent. The obtained results present potential applications for quantum information and optics with optimal conditions.

Highlights

When the Jaynes–Cummings (JC) model was firstly proposed in 1963 [1,2], its practical significance was not clear, as it prescribes the ideal situation of the resonant interaction of a two-level atom with an electromagnetic field
We have introduced a nonlinear version of the Tavis–Cummings model for two two-level atoms interacting with a single-mode field within a cavity in the context of power-law potentials
We have considered the effect of the particle position inside the cavity field that depends on the velocity and acceleration, and the coupling parameter is supposed to be time-dependent

Summary

Introduction

When the Jaynes–Cummings (JC) model was firstly proposed in 1963 [1,2], its practical significance was not clear, as it prescribes the ideal situation of the resonant interaction of a two-level atom with an electromagnetic field. Much attention has been paid to the properties of entanglement for the models of light–matter interaction via models whose principal quantum system is composed of more than one two-level atom coupled with a single-mode field and with each other via the dipole–dipole and Ising-like interaction [49,50], including spin–spin interaction, trapped ions [51] microcavities [52] and dipolarly coupled two molecules [53,54] In this direction, based on the resonant two-atom JC model, an interesting application is proposed to realize a new protocol to uniquely distinguish the.

Physical Model and System Dynamics

Qubits–Field Entanglement and Qubit–Qubit Entanglement

Photon Statistics

Effect of Qubit–Qubit Interaction

Conclusions