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Optomechanical tests of a Schrödinger-Newton equation for gravitational quantum mechanics

C. C. Gan

C. M. Savage* and S. Z. Scully

  • Department of Quantum Science, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia and Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia

  • Department of Quantum Science, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia

  • *craig.savage@anu.edu.au
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Phys. Rev. D 93, 124049 – Published 20 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.124049

Abstract

We show that optomechanical systems can test the Schrödinger-Newton equation of gravitational quantum mechanics due to Yang et al. Phys. Rev. Lett. 110, 170401 (2013). This equation is motivated by semiclassical gravity, a widely used theory of interacting gravitational and quantum fields. From the many-body Schrödinger-Newton equation follows an approximate equation for the center-of-mass dynamics of macroscopic objects. This predicts a distinctive double-peaked signature in the output optical quadrature power spectral density of certain optomechanical systems. Since the Schrödinger-Newton equation lacks free parameters, these will allow its experimental confirmation or refutation.

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Phys. Rev. D 93, 124049– Published 20 June, 2016
  • Received 14 December 2015

© 2016 American Physical Society

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