Entanglement dynamics for the double Tavis-Cummings model

TL;DR

This paper introduces a double Tavis-Cummings model to analyze entanglement dynamics between two entangled atom pairs in separate cavities, comparing it with the double Jaynes-Cummings model and explaining entanglement sudden death phenomena.

Contribution

It develops the DTCM to simulate realistic entanglement evolution in distributed quantum systems and compares it with existing models to identify conditions for entanglement sudden death.

Findings

DTCM effectively models entanglement dynamics in distributed systems.

Comparison with DJCM reveals differences in entanglement behavior.

Interaction strength theory explains entanglement sudden death regions.

Abstract

A double Tavis-Cummings model (DTCM) is developed to simulate the entanglement dynamics of realistic quantum information processing where two entangled atom-pairs $AB$ and $CD$ are distributed in such a way that atoms $AC$ are embedded in a cavity $a$ while $BD$ are located in another remote cavity $b$. The evolutions of different types of initially shared entanglement of atoms are studied under various initial states of cavity fields. The results obtained in the DTCM are compared with that obtained in the double Jaynes-Cummings model (DJCM) [J. Phys. B \textbf{40}, S45 (2007)] and an interaction strength theory is proposed to explain the parameter domain in which the so-called entanglement sudden death occurs for both the DTCM and DJCM.