Entropy of entangled three-level atoms interacting with entangled cavity fields: entanglement swapping

TL;DR

This paper investigates the entropy dynamics of entangled three-level atoms interacting with entangled cavity fields through a two-photon process, revealing multi-periodic behavior and effects of detuning.

Contribution

It provides an explicit entropy expression for entanglement swapping in a microscopical Hamiltonian framework, analyzing multi-periodicity and detuning effects.

Findings

Entropy exhibits multi-periodicity over time.

Detuning influences the period and amplitude of entropy.

Explicit entropy expression derived for the system.

Abstract

The dynamics of an entangled atomic system in a partial interaction with entangled cavity fields, characterizing an entanglement swapping, have been studied through the use of Von Neuman entropy. We consider the interaction via two-photon process given by a full microscopical Hamiltonian approach. The explicit expression of the entropy is obtained, wherewith we estimated the largest period. The numerical simulation of the entropy of the entangled atomic and cavity systems shows that its time evolution presents multi-periodicity. The effects of detuning parameter on the period and the amplitude of the entropy are also discussed.