Tests of quantum-gravity-induced nonlocality via optomechanical experiments
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 ÷ 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: 026012-1 to: 026012-12
KeyWords: Quantum Gravity; Opto-mechanics; DOI: 10.1103/PhysRevD.95026012