https://arxiv.org/abs/1610.09143

Measuring the deviation from the superposition principle in interference 
experiments

G.Rengaraj 
<https://arxiv.org/search/quant-ph?searchtype=author&query=G.Rengaraj>, 
U.Prathwiraj 
<https://arxiv.org/search/quant-ph?searchtype=author&query=U.Prathwiraj>, Surya 
Narayan Sahoo 
<https://arxiv.org/search/quant-ph?searchtype=author&query=Sahoo%2C+S+N>, 
R.Somashekhar 
<https://arxiv.org/search/quant-ph?searchtype=author&query=R.Somashekhar>, 
Urbasi 
Sinha <https://arxiv.org/search/quant-ph?searchtype=author&query=Sinha%2C+U>
(Submitted on 28 Oct 2016 (v1 <https://arxiv.org/abs/1610.09143v1>), last 
revised 20 Nov 2017 (this version, v2))

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.

Comments: Main text: 16 pages including Methods section, 13 figures, 
Supplementary material: 3 pages, 3 figures; New experiment and analysis 
added
Subjects: Quantum Physics (quant-ph)
Journal reference: New Journal of Physics, Volume 20, June 2018
Cite as: arXiv:1610.09143 <https://arxiv.org/abs/1610.09143> [quant-ph]
  (or arXiv:1610.09143v2 <https://arxiv.org/abs/1610.09143v2> [quant-ph] for 
this version)




@ohilithrift

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