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 semianalitical simulations leading to the dynamical evolution of a quantum harmonic oscillator in the presence of non locality reported in [1], 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, are given. Finally, a strategy for detecting non-locality scales of the order of 10−22÷10−26 m by means of the spontaneous time periodic squeezing of quantum coherent states is provided.
@article{arxiv.1611.07959,
title = {Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments},
author = {Alessio Belenchia and Dionigi M. T. Benincasa and Stefano Liberati and Francesco Marin and Francesco Marino and Antonello Ortolan},
journal= {arXiv preprint arXiv:1611.07959},
year = {2017}
}