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Quantum Interference to Measure Spacetime Curvature: A Proposed Experiment at the Intersection of Quantum Mechanics and General Relativity TeX Export

(7 Apr 2003)

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An experiment in Low Earth Orbit (LEO) is proposed to measure components of the Riemann curvature tensor using atom interferometry. We show that the difference in the quantum phase $Δφ$ of an atom that can travel along two intersecting geodesics is given by $mR_0i0j/\hbar$ times the spacetime volume contained within the geodesics. Our expression for $Δφ$ also holds for gravitational waves in the long wavelength limit.


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