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

We show that optomechanical systems can test the Schrodinger-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...

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Published in:Physical review. D 2016-06, Vol.93 (12), Article 124049
Main Authors: Gan, C. C., Savage, C. M., Scully, S. Z.
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Language:English
Subjects:
Approximation
Cosmology
Dynamical systems
Dynamics
Gravitation
Mathematical analysis
Quantum mechanics
Spectra
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description We show that optomechanical systems can test the Schrodinger-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 Schrodinger-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 Schrodinger-Newton equation lacks free parameters, these will allow its experimental confirmation or refutation.
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subjects Approximation
Cosmology
Dynamical systems
Dynamics
Gravitation
Mathematical analysis
Quantum mechanics
Spectra
title Optomechanical tests of a Schrödinger-Newton equation for gravitational quantum mechanics
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