Tests of quantum-gravity-induced nonlocality via optomechanical experiments

Year: 2017

Authors: Belenchia A., Benincasa D.M.T., Liberati S., Marin F., Marino F., Ortolan A.

Autors Affiliation: SISSA, Via Bonomea 265, I-34136 Trieste, Italy and INFN, Sez. di Trieste; CNR-Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125 Firenze, Italy; Dipartimento di Fisica e Astronomia, University of Florence, Via Sansone 1,I-50019 Sesto Fiorentino, Firenze, Italy and INFN, Sez. di Firenze; European Laboratory for Non-Linear Spectroscopy (LENS), Via Carrara 1,I-50019 Sesto Fiorentino, Firenze, Italy; INFN, Laboratori Nazionali di Legnaro, Viale dell’Università, 2, 35020 Legnaro, Padova, Italy

Abstract: The nonrelativistic limit of nonlocal modifications to the Klein-Gordon operator is studied, and the experimental possibilities of casting stringent constraints on the nonlocality scale via planned and/or current optomechanical experiments are discussed. Details of the perturbative analysis and semianalytical simulations leading to the dynamic evolution of a quantum harmonic oscillator in the presence of nonlocality reported in [A. Belenchia, D. M. T. Benincasa, S. Liberati, F. Marin, F. Marino, and A. Ortolan, Phys. Rev. Lett. 116, 161303 ( 2016)] are given, together with a comprehensive account of the experimental methodology with particular regard to sensitivity limitations related to thermal decoherence time and active cooling of the oscillator. Finally, a strategy for detecting nonlocality scales of the order of 10(-22) divided by 10(-26) m by means of the spontaneous time-periodic squeezing of quantum-coherent states is provided.

Journal/Review: PHYSICAL REVIEW D

Volume: 95 (2)      Pages from: 26012-1  to: 26012-12

More Information: A. B., D. M. T. B, and S. L. wish to acknowledge the John Templeton Foundation for the supporting Grant No. 51876. The opinions expressed in this publication are those of the authors and do not necessarily reflect the views of the John Templeton Foundation. A. B. would like to thank Mauro Paternostro for stimulating discussions.
KeyWords: Detectors; Physics; Length
DOI: 10.1103/PhysRevD.95.026012

Citations: 13
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