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A Gravitational Aharonov-Bohm Effect, and Its Connection to Parametric Oscillators and Gravitational Radiation

  • Raymond Y. ChiaoEmail author
  • Robert W. Haun
  • Nader A. Inan
  • Bong-Soo Kang
  • Luis A. Martinez
  • Stephen J. Minter
  • Gerardo A. Munoz
  • Douglas A. Singleton
Conference paper
  • 1.6k Downloads

Abstract

A thought experiment is proposed to demonstrate the existence of a gravitational, vector Aharonov-Bohm effect. We begin the analysis starting from four Maxwell-like equations for weak gravitational fields interacting with slowly moving matter. A connection is made between the gravitational, vector Aharonov-Bohm effect and the principle of local gauge invariance for nonrelativistic quantum matter interacting with weak gravitational fields. The compensating vector fields that are necessitated by this local gauge principle are shown to be incorporated by the DeWitt minimal coupling rule. The nonrelativistic Hamiltonian for weak, time-independent fields interacting with quantum matter is then extended to time-dependent fields, and applied to the problem of the interaction of radiation with macroscopically coherent quantum systems, including the problem of gravitational radiation interacting with superconductors. But first we examine the interaction of EM radiation with superconductors in a parametric oscillator consisting of a superconducting wire placed at the center of a high Q superconducting cavity driven by pump microwaves. Some room-temperature data will be presented demonstrating the splitting of a single microwave cavity resonance into a spectral doublet due to the insertion of a central wire. This would represent an unseparated kind of parametric oscillator, in which the signal and idler waves would occupy the same volume of space. We then propose a separated parametric oscillator experiment, in which the signal and idler waves are generated in two disjoint regions of space, which are separated from each other by means of an impermeable superconducting membrane. We find that the threshold for parametric oscillation for EM microwave generation is much lower for the separated configuration than the unseparated one, which then leads to an observable dynamical Casimir effect. We speculate that a separated parametric oscillator for generating coherent GR microwaves could also be built. [Editor’s note: for a video of the talk given by Prof. Chiao at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-20.]

Keywords

Parametric Oscillator Pump Wave Stokes Wave Transverse Magnetic Mode Idle Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

D.A.S. acknowledges the support of a 2012–2013 Fulbright Senior Scholar Grant. We thank Jay Sharping for his help in our experiments.

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Copyright information

© Springer-Verlag Italia 2014

Authors and Affiliations

  • Raymond Y. Chiao
    • 1
    Email author
  • Robert W. Haun
    • 2
  • Nader A. Inan
    • 2
  • Bong-Soo Kang
    • 2
  • Luis A. Martinez
    • 2
  • Stephen J. Minter
    • 3
  • Gerardo A. Munoz
    • 4
  • Douglas A. Singleton
    • 5
  1. 1.Schools of Natural Sciences and EngineeringUniversity of California, MercedMercedUSA
  2. 2.School of Natural SciencesUniversity of California, MercedMercedUSA
  3. 3.Vienna Center for Quantum Science and Technology, Faculty of PhysicsUniversity of ViennaViennaAustria
  4. 4.California State University, FresnoFresnoUSA
  5. 5.Department of PhysicsInstitut Teknologi BandungBandungIndonesia

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