Local Measurement Scheme of Gravitational Curvature using Atom Interferometers

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Détails bibliographiques
Auteurs principaux:	Werner, Michael, Lezeik, Ali, Schlippert, Dennis, Rasel, Ernst, Gaaloul, Naceur, Hammerer, Klemens
Format:	Preprint
Publié:	2024
Sujets:	Quantum Physics
Accès en ligne:	Acceder al recurso
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author	Werner, Michael Lezeik, Ali Schlippert, Dennis Rasel, Ernst Gaaloul, Naceur Hammerer, Klemens
author_facet	Werner, Michael Lezeik, Ali Schlippert, Dennis Rasel, Ernst Gaaloul, Naceur Hammerer, Klemens
contents	Light pulse atom interferometers (AIFs) are exquisite quantum probes of spatial inhomogeneity and gravitational curvature. Moreover, detailed measurement and calibration are necessary prerequisites for very-long-baseline atom interferometry (VLBAI). Here we present a method in which the differential signal of two co-located interferometers singles out a phase shift proportional to the curvature of the gravitational potential. The scale factor depends only on well controlled quantities, namely the photon wave number, the interferometer time and the atomic recoil, which allows the curvature to be accurately inferred from a measured phase. As a case study, we numerically simulate such a co-located gradiometric interferometer in the context of the Hannover VLBAI facility and prove the robustness of the phase shift in gravitational fields with complex spatial dependence. We define an estimator of the gravitational curvature for non-trivial gravitational fields and calculate the trade-off between signal strength and estimation accuracy with regard to spatial resolution. As a perspective, we discuss the case of a time-dependent gravitational field and corresponding measurement strategies.
format	Preprint
id	arxiv_https___arxiv_org_abs_2409_03515
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Local Measurement Scheme of Gravitational Curvature using Atom Interferometers Werner, Michael Lezeik, Ali Schlippert, Dennis Rasel, Ernst Gaaloul, Naceur Hammerer, Klemens Quantum Physics Light pulse atom interferometers (AIFs) are exquisite quantum probes of spatial inhomogeneity and gravitational curvature. Moreover, detailed measurement and calibration are necessary prerequisites for very-long-baseline atom interferometry (VLBAI). Here we present a method in which the differential signal of two co-located interferometers singles out a phase shift proportional to the curvature of the gravitational potential. The scale factor depends only on well controlled quantities, namely the photon wave number, the interferometer time and the atomic recoil, which allows the curvature to be accurately inferred from a measured phase. As a case study, we numerically simulate such a co-located gradiometric interferometer in the context of the Hannover VLBAI facility and prove the robustness of the phase shift in gravitational fields with complex spatial dependence. We define an estimator of the gravitational curvature for non-trivial gravitational fields and calculate the trade-off between signal strength and estimation accuracy with regard to spatial resolution. As a perspective, we discuss the case of a time-dependent gravitational field and corresponding measurement strategies.
title	Local Measurement Scheme of Gravitational Curvature using Atom Interferometers
topic	Quantum Physics
url	https://arxiv.org/abs/2409.03515

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