Outperforming classical estimation of Post-Newtonian parameters of Earth's gravitational field using quantum metrology

Abstract

The Hong-Ou-Mandel (HOM) effect is analyzed for photons in a modified Mach-Zehnder setup with two particles experiencing different gravitational potentials, which are later recombined using a beam-splitter. It is found that the HOM effect depends directly on the relativistic time dilation between the arms of the setup. This temporal dilation can be used to estimate the $\gamma$ and $\beta$ parameters of the parameterized post-Newtonian formalism. The uncertainty in the parameters $\gamma$ and $\beta$ are of the order $10^{-8}-10^{-12}$, depending on the quantum state employed.

25 pages, 14 Figures

References in corpus (5)

• The Confrontation between General Relativity and Experiment
• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• General relativistic effects in quantum interference of photons
• The Parameterised Post-Newtonian Limit of Fourth-Order Theories of Gravity
• Post-Newtonian gravitational effects in quantum interferometry