In the context of experimental advances in the realization of artificial magnetic fields in quantum gases, we discuss feasible schemes to extend measurements of the Hall polarization to a study of the Hall voltage, allowing for direct comparison with solid state systems. Specifically, for the paradigmatic example of interacting flux ladders, we report on characteristic zero crossings and a remarkable robustness of the Hall voltage with respect to interaction strengths, particle fillings, and ladder geometries, which is unobservable in the Hall polarization. Moreover, we investigate the site-resolved Hall response in spatially inhomogeneous quantum phases.

中文翻译：

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探测合成量子系统中的霍尔电压

在实现量子气体中的人工磁场方面的实验进展的背景下，我们讨论了可行的方案，以将霍尔极化的测量扩展到霍尔电压的研究，从而可以与固态系统进行直接比较。具体来说，对于相互作用的通量梯子的范例，我们报告了特征零交叉和霍尔电压相对于相互作用强度，粒子填充和梯子几何形状的显着鲁棒性，这在霍尔极化中是无法观察到的。此外，我们调查在空间不均匀的量子阶段中的站点解析霍尔响应。