共生纠缠向量及其对三体纯纠缠态的描述

Concurrence vectors and description of entangled formation for a three-body system

首先对由Akhtarshenas推广的、适用于描写多体纠缠的共生纠缠向量及其子向量进行了简述;通过计算T-C模型中的由二原子和腔场组成的三体系统纠缠态的共生纠缠向量,考察系统内纠缠的形成与变迁.结果显示:当系统初始状态为直积态时,系统的共生纠缠向量(C)及其分向量(C{ij})随时间呈现周期性变化且左右对称;随着腔场中光子数的增加,全部共生纠缠向量对腔场中的两原子初态越来越不敏感;Akhtarshenas方案可清晰描绘多体系统中整体的、内部之间的纠缠的结构与变迁.

After briefly introducing Akhtarshenas,concurrence vector and subvector to describe many-body entanglement,we have investigated the entangled formation of the system which contains three bodies——two identical atoms and a single-model cavity field in Tavis-Cummings model by calculating the concurrences.The results show that the total concurrence vector C and subvector C{ij} change periodically and show themselves symmetrically when the initial state of the system is separable,all concurrence is insensitive to the initial states of two atoms as increasing photons of cavity field and description of a refreshing structure about entanglement of formation in the entire system and between its inner bodies.