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首页> 外文期刊>Physical Review, A. Atomic, molecular, and optical physics >Relation between geometric phases of entangled bipartite systems and their subsystems - art. no. 022106
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Relation between geometric phases of entangled bipartite systems and their subsystems - art. no. 022106

机译：纠缠的二分系统的几何相位与其子系统之间的关系-艺术。没有。 022106

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摘要

This paper focuses on the geometric phase of entangled states of bipartite systems under bilocal unitary evolution. We investigate the relation between the geometric phase of the system and those of the subsystems. It is shown that (1) the geometric phase of cyclic entangled states with nondegenerate eigenvalues can always be decomposed into a sum of weighted nonmodular pure state phases pertaining to the separable components of the Schmidt decomposition, although the same cannot be said in the noncyclic case, and (2) the geometric phase of the mixed state of one subsystem is generally different from that of the entangled state even if the other subsystem is kept fixed, but the two phases are the same when the evolution operator satisfies conditions where each component in the Schmidt decomposition is parallel transported. [References: 31]
机译：本文着重研究双局部local演化下二分系统纠缠态的几何相位。我们研究了系统的几何相位与子系统的几何相位之间的关系。结果表明：（1）具有非简并特征值的循环纠缠态的几何相位总可以分解为与Schmidt分解的可分离分量有关的加权非模态纯态相位之和，尽管在非循环情况下不能说相同（2）即使另一个子系统保持固定，一个子系统的混合状态的几何相位通常与纠缠状态的几何相位不同，但是当演化算子满足其中每个分量的条件时，两个相位相同。施密特分解是平行传输的。 [参考：31]

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