Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments
arXiv:1611.07959 · doi:10.1103/PhysRevD.95.026012
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 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.
15 pages, 4 figures, revtex4.1