Proposal for an optical interferometric measurement of the gravitational red-shift with satellite systems

• URL: http://arxiv.org/abs/1811.04835v4
• Date: Tue, 14 Feb 2023 10:37:15 GMT
• Title: Proposal for an optical interferometric measurement of the gravitational red-shift with satellite systems
• Authors: Daniel R. Terno, Francesco Vedovato, Matteo Schiavon, Alexander R. H. Smith, Piergiovanni Magnani, Giuseppe Vallone, Paolo Villoresi
• Abstract summary: Einstein Equivalence Principle (EEP) underpins all metric theories of gravity. The iconic gravitational red-shift experiment places two fermionic systems, used as clocks, in different gravitational potentials. A fundamental point in the implementation of a satellite large-distance optical interferometric experiment is the suppression of the first-order Doppler effect. We propose a novel scheme to suppress it, by subtracting the phase-shifts measured in the one-way and in the two-way configuration between a ground station and a satellite.
• Score: 52.77024349608834
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Einstein Equivalence Principle (EEP) underpins all metric theories of gravity. One of its key aspects is the local position invariance (LPI) of non-gravitational experiments, which is captured by the gravitational red-shift. The iconic gravitational red-shift experiment places two fermionic systems, used as clocks, in different gravitational potentials and compares them using the electromagnetic field. However, the electromagnetic field itself can be used as a clock, by comparing the phases acquired by two optical pulses propagating through different gravitational potentials. A fundamental point in the implementation of a satellite large-distance optical interferometric experiment is the suppression of the first-order Doppler effect, which dominates the weak gravitational signal necessary to test the EEP. Here, we propose a novel scheme to suppress it, by subtracting the phase-shifts measured in the one-way and in the two-way configuration between a ground station and a satellite. We present a detailed analysis of this technique within the post-Newtonian framework and perform some simulations of its performance using realistic satellite orbits and the state-of-the-art fiber technology at the telecom wavelength of 1550 nm.

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