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An open question in experimental physics is the characterization of gravitational effects in quantum regimes. We propose an experimental setup that uses well-tested techniques in cavity optomechanics to observe the effects of the gravitational interaction between two micromechanical oscillators on the interference of the cavity photons through the shifts in the visibility of interfering photons. The gravitational coupling leads to a shift in the period and magnitude of the visibility whose observability is within reach of current technology. We discuss the feasibility of the setup as well as the effects on entanglement due to gravitational interaction.
Balushi et al. (Fri,) studied this question.