Entanglement dynamics of a moving multi-photon Jaynes-Cummings model in mixed states

TL;DR

This paper investigates how entanglement evolves in a moving atom-field system with mixed states, considering atomic motion and field structure, revealing effects of detuning, photon number, and damping behaviors.

Contribution

It introduces an algebraic dynamical approach to analyze entanglement dynamics in a moving multi-photon Jaynes-Cummings model with mixed states, including atomic motion and field structure effects.

Findings

Larger detuning and photon number reduce entanglement fluctuations.

Entanglement fluctuation varies slightly with atomic motion.

Damping of entanglement occurs with combined detuning and atomic motion.

Abstract

Using the algebraic dynamical method, the dynamics of entanglement in an atom-field bipartite system in a mixed state is investigated. The atomic center-ofmass motion and the field-mode structure are also included in this system. We find that the larger values of the detuning and the average photon number, the smaller fluctuation of the entanglement, but the period for the evolution of the entanglement doesn't increase accordingly; It is also found that the fluctuation of the entanglement varies slightly with the atomic motion and oscillates fast with the value of the fieldmode structure and the transition photon number increasing. Moreover, a damping evolution of the entanglement appears when considering detuning and the atomic motion simultaneously.