Effects of cavity-cavity interaction on the entanglement dynamics of a generalized double Jaynes-Cummings model

TL;DR

This paper investigates how cavity-cavity interactions influence entanglement dynamics in a double Jaynes-Cummings model, revealing conditions to prevent entanglement sudden death and enhance quantum coherence in cavity-QED systems.

Contribution

It analytically demonstrates the role of cavity-cavity photon hopping in controlling entanglement evolution and preventing sudden death, offering a new method to sustain entanglement in quantum systems.

Findings

Moderate cavity-cavity interaction prevents entanglement sudden death.

Entanglement can be sustained regardless of initial state.

Comparison shows cavity interaction effects differ from direct spin exchange.

Abstract

We consider a generalized double Jaynes-Cummings model consisting of two isolated two-level atoms, each contained in a lossless cavity, with the cavities interacting with each other through a controlled photon hopping mechanism. The temporal dynamics of entanglement between the two atoms, as the atom-cavity system evolves with time, is investigated for different values of the mediated cavity-cavity interaction. We analytically show that at low values of such an interaction, entanglement between the atoms evolves under the effects of cavity perturbation and exhibits the well-known phenomenon of entanglement sudden death. Interestingly, using moderately large values of the interaction, a complete preclusion of sudden death of entanglement can be achieved, irrespective of its value in the initial two-atom state. Our results, thus allow us to design a model to sustain bipartite entanglement between two atomic qubits under the adverse effect of cavity induced environmental perturbation, by introducing a non-intrusive inter-cavity photon exchange that can be physically realized through cavity-QED setups in contemporary experiments. For completeness, we also compare the effects of inter-cavity interaction on entanglement with the case of direct spin-exchange interaction between the two isolated atoms.