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  • Letter
  • Open Access

Truly relativistic gravity mediated entanglement protocol using superpositions of rotational energies

Gerard Higgins1,2,*, Andrea Di Biagio1,3,†, and Marios Christodoulou1,‡

  • 1Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, A-1090 Vienna, Austria
  • 2Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-412 96 Gothenburg, Sweden
  • 3Basic Research Community for Physics e.V., Mariannenstraße 89, Leipzig, Germany

  • *Contact author: gerard.higgins@oeaw.ac.at
  • †Contact author: andrea.dibiagio@oeaw.ac.at
  • ‡Contact author: marios.christodoulou@oeaw.ac.at
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Phys. Rev. D 110, L101901 – Published 26 November, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L101901

Abstract

Experimental proposals for testing quantum gravity-induced entanglement of masses (QGEM) typically involve two interacting masses which are each in a spatial superposition state. Here, we propose instead a QGEM experiment with two particles which are each in a superposition of rotational states; this amounts to a superposition of mass through mass-energy equivalence. In sharp contrast to the typical protocols studied, our proposal is genuinely relativistic. It does not consider a quantum positional degree of freedom and but relies on the fact that rotational energy gravitates: the effect we consider disappears in the c→∞ limit. Furthermore, this approach would test a feature unique to gravity since it amounts to sourcing a spacetime in superposition due to a superposition of “charge.”

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References (56)

  1. F. Dyson, Is a graviton detectable?, Int. J. Mod. Phys. A 28, 1330041 (2013).
  2. T. Rothman and S. Boughn, Can gravitons be detected?, Found. Phys. 36, 1801 (2006).
  3. The Role of Gravitation in Physics: Report from the 1957 Chapel Hill Conference, edited by C. DeWitt-Morette and D. Rickles (Max-Planck-Gesellschaft zur Förderung der Wissenschaften, Berlin, 2011), 10.34663/9783945561294-00.
  4. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  5. M. Aspelmeyer, When Zeh meets Feynman: How to avoid the appearance of a classical world in gravity experiments, in From Quantum to Classical: Essays in Honour of H.-Dieter Zeh (Springer International Publishing, Cham, 2022), 10.1007/978-3-030-88781-0_5.
  6. T. Weiss, M. Roda-Llordes, E. Torrontegui, M. Aspelmeyer, and O. Romero-Isart, Large quantum delocalization of a levitated nanoparticle using optimal control: Applications for force sensing and entangling via weak forces, Phys. Rev. Lett. 127, 023601 (2021).
  7. S. Bose, A. Mazumdar, G. W. Morley, H. Ulbricht, M. Toroš, M. Paternostro, A. Geraci, P. Barker, M. S. Kim, and G. Milburn, A spin entanglement witness for quantum gravity, Phys. Rev. Lett. 119, 240401 (2017).
  8. C. Marletto and V. Vedral, Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity, Phys. Rev. Lett. 119, 240402 (2017).
  9. T. Krisnanda, G. Y. Tham, M. Paternostro, and T. Paterek, Observable quantum entanglement due to gravity, npj Quantum Inf. 6, 12 (2020).
  10. M. Christodoulou, A. Di Biagio, M. Aspelmeyer, Č. Brukner, C. Rovelli, and R. Howl, Locally mediated entanglement through gravity from first principles, Phys. Rev. Lett. 130, 100202 (2023).
  11. R. J. Marshman, A. Mazumdar, and S. Bose, Locality and entanglement in table-top testing of the quantum nature of linearized gravity, Phys. Rev. A 101, 052110 (2020).
  12. S. Bose, A. Mazumdar, M. Schut, and M. Toroš, Mechanism for the quantum natured gravitons to entangle masses, Phys. Rev. D 105, 106028. (2022).
  13. D. Wallace, Quantum gravity at low energies, arXiv:2112.12235.
  14. J. Oppenheim, A postquantum theory of classical gravity?, Phys. Rev. X 13, 041040 (2023).
  15. T. D. Galley, F. Giacomini, and J. H. Selby, A no-go theorem on the nature of the gravitational field beyond quantum theory, Quantum 6, 779 (2022).
  16. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Rev. Mod. Phys. 81, 865 (2009).
  17. C. Marletto and V. Vedral, Witnessing the quantumness of a system by observing only its classical features, npj Quantum Inf. 3, 1 (2017).
  18. D. Carney, Newton, entanglement, and the graviton, Phys. Rev. D 105, 024029 (2022).
  19. A. Mari, G. De Palma, and V. Giovannetti, Experiments testing macroscopic quantum superpositions must be slow, Sci. Rep. 6, 22777 (2016).
  20. A. Belenchia, R. M. Wald, F. Giacomini, E. Castro-Ruiz, Č. Brukner, and M. Aspelmeyer, Quantum superposition of massive objects and the quantization of gravity, Phys. Rev. D 98, 126009 (2018).
  21. D. L. Danielson, G. Satishchandran, and R. M. Wald, Gravitationally mediated entanglement: Newtonian field versus gravitons, Phys. Rev. D 105, 086001 (2022).
  22. E. Castro Ruiz, F. Giacomini, and Č. Brukner, Entanglement of quantum clocks through gravity, Proc. Natl. Acad. Sci. U.S.A. 114, E2303 (2017).
  23. C. Marletto, V. Vedral, and D. Deutsch, Quantum-gravity effects could in principle be witnessed in neutrino-like oscillations, New J. Phys. 20, 083011 (2018).
  24. M. Zych, Quantum systems under gravitational time dilation, Ph.D. thesis, University of Vienna, 2017, Springer Theses.
  25. See Supplemental material at http://link.aps.org/supplemental/10.1103/PhysRevD.110.L101901 which includes information about the generation of entanglement between two particles which are initialized in mass-superposition states, the dynamics during step (3) of the protocol, and the feasibility of the scheme when disc-shaped particles are used.
  26. E. Polino, B. Polacchi, D. Poderini, I. Agresti, G. Carvacho, F. Sciarrino, A. D. Biagio, C. Rovelli, and M. Christodoulou, Photonic implementation of quantum gravity simulator, Adv. Photonics Nexus 3, 036011 (2024).
  27. P. Wang, C.-Y. Luan, M. Qiao, M. Um, J. Zhang, Y. Wang, X. Yuan, M. Gu, J. Zhang, and K. Kim, Single ion qubit with estimated coherence time exceeding one hour, Nat. Commun. 12, 233 (2021).
  28. S. Kuhn, A. Kosloff, B. A. Stickler, F. Patolsky, K. Hornberger, M. Arndt, and J. Millen, Full rotational control of levitated silicon nanorods, Optica 4, 356 (2017).
  29. J. Ahn, Z. Xu, J. Bang, Y.-H. Deng, T. M. Hoang, Q. Han, R.-M. Ma, and T. Li, Optically levitated nanodumbbell torsion balance and GHz nanomechanical rotor, Phys. Rev. Lett. 121, 033603 (2018).
  30. R. Reimann, M. Doderer, E. Hebestreit, R. Diehl, M. Frimmer, D. Windey, F. Tebbenjohanns, and L. Novotny, GHz rotation of an optically trapped nanoparticle in vacuum, Phys. Rev. Lett. 121, 033602 (2018).
  31. J. S. Pedernales, F. Cosco, and M. B. Plenio, Decoherence-free rotational degrees of freedom for quantum applications, Phys. Rev. Lett. 125, 090501 (2020).
  32. T. B. Lantaño, L. Petruzziello, S. F. Huelga, and M. B. Plenio, Low-energy test of quantum gravity via angular momentum entanglement, arXiv:2409.01364.
  33. C. C. Rusconi, M. Perdriat, G. Hétet, O. Romero-Isart, and B. A. Stickler, Spin-controlled quantum interference of levitated nanorotors, Phys. Rev. Lett. 129, 093605 (2022).
  34. Y. Ma, M. S. Kim, and B. A. Stickler, Torque-free manipulation of nanoparticle rotations via embedded spins, Phys. Rev. B 104, 134310 (2021).
  35. E. Urban, N. Glikin, S. Mouradian, K. Krimmel, B. Hemmerling, and H. Haeffner, Coherent control of the rotational degree of freedom of a two-ion Coulomb crystal, Phys. Rev. Lett. 123, 133202 (2019).
  36. T. Delord, P. Huillery, L. Nicolas, and G. Hétet, Spin-cooling of the motion of a trapped diamond, Nature (London) 580, 56 (2020).
  37. Y. Jin, K. Shen, P. Ju, X. Gao, C. Zu, A. J. Grine, and T. Li, Quantum control and fast rotation of levitated diamonds in high vacuum, Nat. Commun. 15, 5063 (2024).
  38. B. A. Stickler, K. Hornberger, and M. S. Kim, Quantum rotations of nanoparticles, Nat. Rev. Phys. 3, 589 (2021).
  39. K. Trachenko, B. Monserrat, C. J. Pickard, and V. V. Brazhkin, Speed of sound from fundamental physical constants, Sci. Adv. 6, eabc8662 (2020).
  40. C. Zhang, F. Pokorny, W. Li, G. Higgins, A. Pöschl, I. Lesanovsky, and M. Hennrich, Submicrosecond entangling gate between trapped ions via Rydberg interaction, Nature (London) 580, 345 (2020).
  41. J. Miller, The NHMFL 45-T hybrid magnet system: past, present, and future, IEEE Trans. Appl. Supercond. 13, 1385 (2003).
  42. S. Hahn, K. Kim, K. Kim, X. Hu, T. Painter, I. Dixon, S. Kim, K. R. Bhattarai, S. Noguchi, J. Jaroszynski, and D. C. Larbalestier, 45.5-Tesla direct-current magnetic field generated with a high-temperature superconducting magnet, Nature (London) 570, 496 (2019).
  43. C. Zhong and F. Robicheaux, Decoherence of rotational degrees of freedom, Phys. Rev. A 94, 052109 (2016).
  44. B. A. Stickler, B. Schrinski, and K. Hornberger, Rotational friction and diffusion of quantum rotors, Phys. Rev. Lett. 121, 040401 (2018).
  45. D. E. Chang, C. A. Regal, S. B. Papp, D. J. Wilson, J. Ye, O. Painter, H. J. Kimble, and P. Zoller, Cavity opto-mechanics using an optically levitated nanosphere, Proc. Natl. Acad. Sci. U.S.A. 107, 1005 (2010).
  46. L. Martinetz, K. Hornberger, and B. A. Stickler, Gas-induced friction and diffusion of rigid rotors, Phys. Rev. E 97, 052112 (2018).
  47. L. Martinetz, K. Hornberger, and B. A. Stickler, Surface-induced decoherence and heating of charged particles, PRX Quantum 3, 030327 (2022).
  48. L. Martinetz, K. Hornberger, and B. A. Stickler, Electric trapping and circuit cooling of charged nanorotors, New J. Phys. 23, 093001 (2021).
  49. R. Kaltenbaek et al., MAQRO—BPS 2023 research campaign whitepaper, arXiv:2202.01535.
  50. A. Di Biagio, R. Howl, Č. Brukner, C. Rovelli, and M. Christodoulou, Relativistic locality can imply subsystem locality, arXiv:2305.05645.
  51. V. Fragkos, M. Kopp, and I. Pikovski, On inference of quantization from gravitationally induced entanglement, AVS Quantum Sci. 4, 045601 (2023).
  52. M. Christodoulou, A. Di Biagio, R. Howl, and C. Rovelli, Gravity entanglement, quantum reference systems, degrees of freedom, Classical Quantum Gravity 40, 047001 (2023).
  53. N. Huggett, N. Linnemann, and M. D. Schneider, Quantum Gravity in a Laboratory?, 1st ed. (Cambridge University Press, Cambridge, England, 2023), 10.1017/9781009327541.
  54. M. Christodoulou and C. Rovelli, On the possibility of laboratory evidence for quantum superposition of geometries, Phys. Lett. B 792, 64 (2019).
  55. E. Martín-Martínez and T. R. Perche, What gravity mediated entanglement can really tell us about quantum gravity, Phys. Rev. D 108, L101702 (2023).
  56. https://www.qiss.fr/

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Phys. Rev. D 110, L101901– Published 26 November, 2024
  • Received 5 March 2024
  • Accepted 5 November 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by Bibsam.

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