Mechanism for the quantum natured gravitons to entangle masses

Bose, S., Mazumdar, A., Schut, M. and Toros, M. (2022) Mechanism for the quantum natured gravitons to entangle masses. Physical Review D, 105, 106028. (doi: 10.1103/PhysRevD.105.106028)

Abstract

This paper points out the importance of the quantum nature of the gravitational interaction with matter in a linearized theory of quantum gravity induced entanglement of masses. We will show how the quantum interaction entangles the steady states of a closed system (eigenstates) of two test masses placed in the harmonic traps, and how such a quantum matter-matter interaction emerges from an underlying quantum gravitational field. We will rely upon quantum perturbation theory highlighting the critical assumptions for generating a quantum matter-matter interaction and showing that a classical gravitational field does not render such an entanglement. We will consider two distinct examples: one where the two harmonic oscillators are static, and the other where the harmonic oscillators are nonstatic. In both cases it is the quantum nature of the gravitons interacting with the harmonic oscillators that are responsible for creating an entangled state with the ground and the excited states of harmonic oscillators as the Schmidt basis. We will compute the concurrence as a criterion for the above entanglement and compare the two ways of entangling the two harmonic oscillators.

• Item Type: Articles
• Additional Information: M. T. and S. B. acknowledge EPSRC Grant No. EP/ N031105/1, S. B. the EPSRC Grant No. EP/S000267/1, and M. T. funding by the Leverhulme Trust (RPG2020-197). M. S. is supported by the Fundamentals of the Universe research program within the University of Groningen. A. M.’s research is funded by the Netherlands Organisation for Science and Research (NWO) Grant No. 680-91-119.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Toros, Dr Marko
• Authors: Bose, S., Mazumdar, A., Schut, M., and Toros, M.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Physical Review D
• Publisher: American Physical Society
• ISSN: 2470-0010
• ISSN (Online): 2470-0029
• Copyright Holders: Copyright © 2022 American Physical Society
• First Published: First published in Physical Review D 105:106028
• Publisher Policy: Reproduced in accordance with the publisher copyright policy