两个自旋为1/2粒子在纠缠量子系统中的Berry几何相位

J4 ›› 2010, Vol. 27 ›› Issue (3): 293-299.

两个自旋为1/2粒子在纠缠量子系统中的Berry几何相位

易学华,钟庆湖

嘉应学院物理与光信息科技学院, 广东梅州 514015

收稿日期:2009-12-07 修回日期:2009-12-21 出版日期:2010-05-28 发布日期:2010-05-11
通讯作者: 易学华（1965-），男，江西宜春人，硕士,嘉应学院物理系副教授，现主要从事量子几何相位和金属材料模似研究工作。
作者简介:易学华（1965-），男，江西宜春人，硕士,嘉应学院物理系副教授，现主要从事量子几何相位和金属材料模似研究工作。

Berry，s geometric phase for two spin-1/2 particles in an entangled quantum system

Yi Xue-Hua, Zhong Qing-Hu

School of Physics and Optical Information Sciences, Jiaying University, Guangdong Meizhou 514015, China

Received:2009-12-07 Revised:2009-12-21 Published:2010-05-28 Online:2010-05-11

摘要/Abstract

摘要：

研究了两个自旋为1/2的粒子在自旋相互作用情况下的Berry几何相位纠缠依赖，分别计算了两个自旋为1/2的纠缠粒子之间在存在自旋相互作用和无相互作用下的Berry几何相位，并得到在纠缠消失时几何相位的计算表达式.而且我们还讨论了两个粒子中只有一个粒子受到外磁场作用时的几何相位.结果发现其几何相位并不等于单个粒子在受到外磁场作用时的几何相位，而是与影响自旋纠缠强度作用的有关,同时还得到了几何相位依赖于纠缠的的普遍公式.

关键词: 量子光学∣几何相位∣动力学相位∣自旋为1/2的粒子∣自旋纠缠∣匀强磁场

Abstract:

The entanglement dependence of the Berry，s geometric phase is studied in the case of two spin-1/2 partics with a spin-spin interaction. The Berry，s phases for two spin-1/2 entanglement particles in the presence of spin-spin interaction and noninteraction are calculated, respectively. The expression of calculating geometric phase, when entanglement vanishes, is obtained. Moreover, we also discuss the geometric phase when only one of the two particles is affected by the external magnetic field. It is shown that its geometric phase is not equal to the one of single particle which is acted by the external magnetic field, and we find that the result is relate to that affect the strength of entanglement. A general entanglement-dependence geometric phase is formulated.

Key words: quantum optics∣geometric phase∣dynamic phase∣spin-1/2 particle∣spin entanglement∣uniform magnetic field

易学华,钟庆湖. 两个自旋为1/2粒子在纠缠量子系统中的Berry几何相位[J]. J4, 2010, 27(3): 293-299.

Yi Xue-Hua, Zhong Qing-Hu. Berry，s geometric phase for two spin-1/2 particles in an entangled quantum system[J]. J4, 2010, 27(3): 293-299.

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