论文标题

Aharonov-bohm效应中的连贯性和现实主义

Coherence and realism in the Aharonov-Bohm effect

论文作者

Paiva, Ismael L., Dieguez, Pedro R., Angelo, Renato M., Cohen, Eliahu

论文摘要

Aharonov-Bohm效应是一种基本拓扑现象,具有广泛的应用。它由一个电荷组成,该电荷环绕着一个磁通量的区域,在波数据包的叠加中,其相对相受到通量影响。在这项工作中,我们使用称为现实主义的熵措施分析了这种效果,该效果最初是作为与全球和局部量子相干性概念相关的系统程度和数学相关的系统程度的量化者。更确切地说,我们寻找可观察到的物品,这些物品在完成循环之前会导致与电荷相关的衡量现实主义。我们发现,当连接两个波数据包的线横穿电磁阀时,这些操作员的现实主义会突然改变。此外,我们考虑了量化磁场源的情况,指出了两种情况之间的相似性和差异。最后,我们讨论了这些结果的一些后果。

The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposition of wave packets having their relative phase affected by the flux. In this work, we analyze this effect using an entropic measure known as realism, originally introduced as a quantifier of a system's degree of reality and mathematically related to notions of global and local quantum coherence. More precisely, we look for observables that lead to gauge-invariant realism associated with the charge before it completes its loop. We find that the realism of these operators has a sudden change when the line connecting the center of both wave packets crosses the solenoid. Moreover, we consider the case of a quantized magnetic-field source, pointing out similarities and differences between the two cases. Finally, we discuss some consequences of these results.

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