In this article, we consider a scenario in which a spin-1/2 quanton goes through a superposition of co-rotating and counter-rotating circular paths, which play the role of the paths of a Mach–Zehnder interferometer in a stationary and axisymmetric spacetime. Since the spin of the particle plays the role of a quantum clock, as the quanton moves in a superposed path it gets entangled with the momentum (or the path), and this will cause the interferometric visibility (or the internal quantum coherence) to drop, since, in stationary axisymmetric spacetimes there is a difference in proper time elapsed along the two trajectories. However, as we show here, the proper time of each path will couple to the corresponding local Wigner rotation, and the effect in the spin of the superposed particle will be a combination of both. Besides, we discuss a general framework to study the local Wigner rotations of spin-1/2 particles in general stationary axisymmetric spacetimes for circular orbits.

在本文中，我们考虑自旋 1/2 量子经过同向旋转和反向旋转圆形路径的叠加的场景，这些圆形路径在静止和轴对称中扮演马赫-曾德干涉仪路径的角色。时空。由于粒子的自旋起着量子钟的作用，当量子沿叠加路径运动时，它会与动量（或路径）纠缠在一起，这将导致干涉可见度（或内部量子相干性）下降，因为在静止轴对称时空中，沿着两条轨迹经过的适当时间存在差异。然而，正如我们在这里展示的，每条路径的适当时间将耦合到相应的局部 Wigner 旋转，并且叠加粒子的自旋效应将是两者的结合。除了，