Measuring the deviation from the superposition principle in interference experiments

TL;DR

This paper experimentally demonstrates a measurable deviation from the superposition principle in microwave interference experiments, highlighting the role of non-classical paths and boundary condition effects beyond quantum mechanics.

Contribution

It provides the first experimental evidence of a deviation from superposition in microwaves, using controllable parameters to enhance non-classical path effects.

Findings

Measured up to 6% deviation from superposition principle.

Controlled the contribution of non-classical paths in the experiment.

Potential implications for astronomical observations.

Abstract

The Feynman Path Integral formalism has long been used for calculations of probability amplitudes. Over the last few years, it has been extensively used to theoretically demonstrate that the usual application of the superposition principle in slit based interference experiments is often incorrect. This has caveat in both optics and quantum mechanics where it is often naively assumed that the boundary condition represented by slits opened individually is same as them being opened together. The correction term comes from exotic sub leading terms in the Path Integral which can be described by what are popularly called non-classical paths. In this work, we report an experiment where we have a controllable parameter that can be varied in its contribution such that the effect due to these non-classical paths can be increased or diminished at will. Thus, the reality of these non-classical paths is brought forth in a classical experiment using microwaves, thereby proving that the boundary condition effect being investigated transcends the classical-quantum divide. We report the first measurement of a deviation (as big as $6\%$) from the superposition principle in the microwave domain using antennas as sources and detectors of the electromagnetic waves. We also show that our results can have potential applications in astronomy.