三体系统量子纠缠度特性研究-陕西师范大学学报期刊社网站

陕西师范大学学报（自然科学版）

物理学

三体系统量子纠缠度特性研究

杨富社1，王菊霞2

(1 长安大学理学院，陕西西安 710064；2 渭南师范学院物理与电子工程系，量子光学与光子学研究所，陕西渭南 714000)

杨富社，男，副教授，博士研究生,主要从事量子计算方法研究.E-mail :Fusheyang@chd.edu.cn.

摘要:

应用量子计算方法，对三原子体系中三体间、两两间以及Tavis-Cummings 模型系统的纠缠度进行了详细计算．通过求解原子与光场相互作用系统态矢满足的薛定谔方程，得出了该模型三体间纠缠度随时间的演化规律.结果表明：原子光场相互作用系统的纠缠度呈现随时间变化的周期振荡性，周期大小与系统初始状态有关．系统中三体间的纠缠度与三体中两两间纠缠度的振荡周期有关．随着时间的变化，体系由开始的非纠缠状态可演化为三体最大或部分纠缠态.

关键词：

量子光学；纠缠态；三体纠缠；纠缠度

收稿日期：

2009-10-15

中图分类号：

O413.1

文献标识码：

文章编号：

1672-4291(2011)01-0033-05

基金项目：

陕西省自然科学基金资助项目(SJ08A25)；陕西省教育厅专项科研基金资助项目(08JK286)

Doi:

Quantum entanglement degree of three-body systems

YANG Fu-she1， WANG Ju-xia2

(1 College of Science, Chang′an University,Xi′an 710064, Shaanxi, China;2 Institute of Quantum Optics and Photonics, Department of Physics and Electronic Engineering, Weinan Teachers University, Weinan 714000, Shaanxi, China)

Abstract:

Using the method of quantum calculation, the entanglement degrees of the three-body system, any two-body among the them, and the Tavis-Cummings model system are calculated in detail. The evolution property of three-body entanglement degree is showed via solving the Schrdinger equation of the atom-light field system. It is found that the entanglement degree of the atom-light field system shows the periodic oscillations with the time and the cycle is closely related to the initial state of the system. The entanglement degree in the three-body system has the same cycle as that of the any two-body in the three-body system. The system will evolve to a three-body maximum or partly entangled state from the initial non-entangled state.

KeyWords:

quantum optics; entangled state; tripartite entanglement; entanglement degree