两个自旋为1/2粒子在纠缠量子系统中的Berry几何相位(英文)

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

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。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α有关,同时还得到了几何相位依赖于纠缠的普遍公式。

The entanglement dependence of Berry＇s geometric phase is studied in the case of two spin-1/2 particles with a spin-spin interaction. 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, the geometric phase is discussed 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 that of single particle which is acted by the external magnetic field, and the result is related to α that affect the strength of entanglement. A general entanglement-dependence geometric phase is formulated.