Quantum Physics
[Submitted on 9 Jul 2024
]
Title: Higher order weak values for paths in nested Mach-Zender interferometers
Title: 嵌套马赫-曾德尔干涉仪中路径的高阶弱值
Abstract: We consider weak values in the Feynman propagator framework, to gain a broader understanding of their interpretation in terms of path integrals. In particular, we examine the phenomenon of seemingly discontinuous paths that particles take in nested Mach-Zender interferometer experiments. We extend on existing path integral approaches for weak values by deriving expressions to model a sequence of weak measurements, and study the probe shifts across the different branches of a weak value interferometer. We apply this to scrutinise two scenarios of interest, one which treats photons as measurement apparatus via their spatial projection operators, and the second treating mirrors as probes.
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