Probing Planck-scale spacetime by cavity opto-atomic Rb interferometry

Khodadi, Mohsen (Department of Physics, Faculty of Basic Sciences, University of Mazandaran, 47416-95447, Babolsar, Iran) ; Nozari, Kourosh (Department of Physics, Faculty of Basic Sciences, University of Mazandaran, 47416-95447, Babolsar, Iran) (Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), 55134-441, Maragha, Iran) ; Bhat, Anha (Department of Metallurgical and Materials Engineering, National Institute of Technology, Srinagar 190006, India) ; Mohsenian, Sina (Department of Mechanical Engineering, University of Massachusetts Lowell, Lowell, MA 01854, USA)

01 June 2019

Abstract: The project of quantum spacetime phenomenology focuses on searching pragmatically for the Planck-scale quantum features of spacetime. Among these features is the existence of a characteristic length scale commonly addressed by effective approaches to quantum gravity (QG). This characteristic length scale could be simply realized, for instance, by generalizing the standard Heisenberg uncertainty principle to a generalized uncertainty principle (GUP). While it is usually expected that phenomena belonging to the realm of QG are essentially probable solely at the so-called Planck energy, here we show how a GUP proposal containing the most general modification of coordinate representation of the momentum operator could be probed by a cold atomic ensemble recoil experiment (CARE) as a low-energy quantum system. This proposed atomic interferometer setup has advantages over the conventional architectures owing to the enclosure in a high-finesse optical cavity that is supported by a new class of low-power-consumption integrated devices known as micro-electro-opto-mechanical systems . In the framework of a top-down-inspired bottom-up QG phenomenological viewpoint and by taking into account the measurement accuracy realized for the fine structure constant from the rubidium ( Rb) CARE, we set some constraints as upper bounds on the characteristic parameters of the underlying GUP. In the case of superposition of the possible GUP modification terms, we managed to set a tight constraint of for the dimensionless characteristic parameter. Our study shows that the best playground to test QG approaches is not merely high-energy physics, but a table-top nanosystem assembly as well. PACS numbers: 04.60.-m, 04.60.Bc

Published in: PTEP 2019 (2019) 053E03
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/ptz039
arXiv: 1804.06389
License: CC-BY-3.0

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