Proposal for constraining non-Newtonian gravity at nm range via criticality enhanced measurement of resonance frequency shift

Abstract

We propose a quantum mechanical method of constraining non-Newtonian gravity at the nanometer range. In this method, a hybrid electro-optomechanical system is employed. Applying a strong driving field, we can obtain normal mode splitting of the electromechanical subsystem which is related to the resonance frequency of the mechanical oscillator. Moreover, we investigate the relationship between the variance of normal mode splitting and the resonance frequency shift induced by the gradient of exotic forces provided that our system is operated at critical points. Furthermore, via suppressing the Casimir background, we set a constraint on the non-Newtonian gravity which improves the previous bounds by about a factor of 7 at 1 nanometer range. Our results indicate that our method could be put into consideration in relevant experimental searches.

References in corpus (18)

• Advances in atomic force microscopy
• Optomechanical entanglement between a movable mirror and a cavity field
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Observation of strong coupling between a micromechanical resonator and an optical cavity field
• New Experimental Constraints on Non-Newtonian Forces below 100 microns
• Constraining New Forces in the Casimir Regime Using the Isoelectronic Technique
• Improved constraints on non-Newtonian forces at 10 microns
• Quantum-criticality-induced strong Kerr nonlinearities in optomechanical systems
• Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using atomic force microscope in a frequency shift technique
• Constraints on Yukawa-Type Deviations from Newtonian Gravity at 20 Microns
• Probing Sub-Micron Forces by Interferometry of Bose-Einstein Condensed Atoms
• Limits on Nonstandard Forces in the Submicrometer Range
• Constraints on New Gravitylike Forces in the Nanometer Range
• Advance and prospects in constraining the Yukawa-type corrections to Newtonian gravity from the Casimir effect
• Constraints on corrections to Newtonian gravity from two recent measurements of the Casimir interaction between metallic surfaces
• Precision measurements of the gradient of the Casimir force between ultra clean metallic surfaces at larger separations
• Constraints on non-Newtonian gravity and axionlike particles from measuring the Casimir force in nanometer separation range
• Critical behavior in ultra-strong-coupled oscillators