Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments

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

References in corpus (5)

• Nonlocal quantum gravity and M-theory
• Feedback cooling of the normal modes of a massive electromechanical system to submillikelvin temperature
• Nonlocal Scalar Quantum Field Theory from Causal Sets
• An ultra-low dissipation micro-oscillator for quantum opto-mechanics
• Emergence of string-like physics from Lorentz invariance in loop quantum gravity

Cited by in corpus (7)

• Degeneracy-breaking and Long-lived Multimode Microwave Electromechanical Systems Enabled by Cubic Silicon-Carbide Membrane Crystals
• Tests of Quantum Gravity-Induced Non-Locality: Hamiltonian formulation of a non-local harmonic oscillator
• Tabletop Experiments for Quantum Gravity Are Also Tests of the Interpretation of Quantum Mechanics
• Doubly special relativity as a non-local quantum field theory
• Effective information bounds in modified quantum mechanics
• Quantum gravity inspired nonlocal quantum dynamics preserving the classical limit
• Classifying deviation from standard quantum behavior using Kullback Leibler divergence