Entanglement Between Stochastic Atomic Motion and Three-Level Atom

TL;DR

This paper investigates how atomic motion and detuning parameters influence entanglement and entropy dynamics in a three-level atom interacting with a cavity field, providing an exact analytical solution and analyzing their effects.

Contribution

It presents an exact analytical solution for the wave function of a three-level atom with atomic motion in a cavity, and studies the effects of detuning and motion on entanglement.

Findings

Atomic motion significantly affects entanglement dynamics.

Detuning parameters influence the evolution of von Neumann entropy.

Atomic populations are sensitive to atomic motion and detuning.

Abstract

In this paper, we are interested in studying entropy and dynamics entanglement between a single time dependent three-level atom interacting with one-mode cavity field when the atomic motion is taken into account. An exact analytical solution for the wave function is given by using Schr\"odinger equation for a specific initial condition. The field entropy of this system is investigated in the non-resonant case. The influences of the detuning parameters and atomic motion on the entanglement degree are examined. We show that both of the detuning parameters and atomic motion play important roles in the evolution of von Neumann entropy and atomic populations. Finally, conclusion and some features are given.