Paradox with phase-coupled interferometers

May 23, 2023
7 pages
Published in:
  • Phys.Rev.A 110 (2024) 4, 042214
  • Published: Oct 21, 2024
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Abstract: (APS)
A pair of interferometers can be coupled by allowing one path from each to overlap such that if the particles meet in this overlap region, they annihilate. It was shown by one of us over 30 years ago that such annihilation-coupled interferometers can exhibit apparently paradoxical behavior. More recently, Bose et al. [Phys. Rev. Lett. 119, 240401 (2017)] and Marletto et al. [Phys. Rev. Lett. 119, 240402 (2017)] have considered a pair of interferometers that are phase coupled (where the coupling is through gravitational interaction). In this case one path from each interferometer undergoes a phase-coupling interaction. We show that these phase-coupled interferometers exhibit the same apparent paradox as the annihilation-coupled interferometers, though in a curiously dual manner.
Note:
  • Comments welcome
  • gravitation: interaction
  • interferometer
  • duality
  • quantum gravity