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Locality and entanglement in table-top testing of the quantum nature of linearized gravity

Marshman, RJ; Mazumdar, A; Bose, S; (2020) Locality and entanglement in table-top testing of the quantum nature of linearized gravity. Physical Review A , 101 (5) , Article 052110. 10.1103/PhysRevA.101.052110. Green open access

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Abstract

This paper points out the importance of the assumption of locality of physical interactions, and the concomitant necessity of propagation of an entity (in this case, off-shell quanta—virtual gravitons) between two nonrelativistic test masses in unveiling the quantum nature of linearized gravity through a laboratory experiment. At the outset, we will argue that observing the quantum nature of a system is not limited to evidencing O ( ℏ ) corrections to a classical theory: it instead hinges upon verifying tasks that a classical system cannot accomplish. We explain the background concepts needed from quantum field theory and quantum information theory to fully appreciate the previously proposed table-top experiments, namely forces arising through the exchange of virtual (off-shell) quanta, as well as local operations and classical communication (LOCC) and entanglement witnesses. We clarify the key assumption inherent in our evidencing experiment, namely the locality of physical interactions, which is a generic feature of interacting systems of quantum fields around us, and naturally incorporate microcausality in the description of our experiment. We also present the types of states the matter field must inhabit, putting the experiment on firm relativistic quantum-field-theoretic grounds. At the end, we use a nonlocal theory of gravity to illustrate how our mechanism may still be used to detect the qualitatively quantum nature of a force when the scale of nonlocality is finite. We find that the scale of nonlocality, including the entanglement entropy production in local and nonlocal gravity, may be revealed from the results of our experiment.

Type: Article
Title: Locality and entanglement in table-top testing of the quantum nature of linearized gravity
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.101.052110
Publisher version: https://doi.org/10.1103/PhysRevA.101.052110
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Optics, Physics, Atomic, Molecular & Chemical, Physics, MIXED-STATE ENTANGLEMENT, BELL INEQUALITY, VIOLATION, EQUATION
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.ucl.ac.uk/id/eprint/10100515
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