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

We show that optomechanical systems can test the Schrödinger-Newton equation of gravitational quantum mechanics due to Yang et al. 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.

preprint2016arXivOpen access
C. C. GanC. M. SavageS. Z. Scully
gr-qc
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C. C. GanC. M. SavageS. Z. Scully

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