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Entanglement Witness for the Weak Equivalence Principle

Bose, Sougato; Mazumdar, Anupam; Schut, Martine; Toroš, Marko; (2023) Entanglement Witness for the Weak Equivalence Principle. Entropy , 25 (3) , Article 448. 10.3390/e25030448. Green open access

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Abstract

The Einstein equivalence principle is based on the equality of gravitational and inertial mass, which has led to the universality of a free-fall concept. The principle has been extremely well tested so far and has been tested with a great precision. However, all these tests and the corresponding arguments are based on a classical setup where the notion of position and velocity of the mass is associated with a classical value as opposed to the quantum entities.Here, we provide a simple quantum protocol based on creating large spatial superposition states in a laboratory to test the quantum regime of the equivalence principle where both matter and gravity are treated at par as a quantum entity. The two gravitational masses of the two spatial superpositions source the gravitational potential for each other. We argue that such a quantum protocol is unique with regard to testing especially the generalisation of the weak equivalence principle by constraining the equality of gravitational and inertial mass via witnessing quantum entanglement.

Type: Article
Title: Entanglement Witness for the Weak Equivalence Principle
Location: Switzerland
Open access status: An open access version is available from UCL Discovery
DOI: 10.3390/e25030448
Publisher version: https://doi.org/10.3390/e25030448
Language: English
Additional information: © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Keywords: entanglement, equivalence principle, quantum gravity
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10168334
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