Search for non-Newtonian interactions at micrometer scale with a levitated test mass

Abstract

We report on a search for non-Newtonian forces that couple to mass, with a characteristic scale of $\sim 10\hat{I}¼$m, using an optically levitated microsphere as a precision force sensor. A silica microsphere trapped in an upward-propagating, single-beam, optical tweezer is utilized to probe for interactions sourced from a nanofabricated attractor mass with a density modulation brought into close proximity to the microsphere and driven along the axis of periodic density in order to excite an oscillating response. We obtain force sensitivity of $\lesssim 10^{-16}\mathrm{N}/\sqrt{\mathrm{Hz}}$. Separately searching for attractive and repulsive forces results in the constraint on a new Yukawa interaction of $|\hat{I}\pm |\gtrsim 10^8$ for $\hat{I}»>10\hat{I}¼$m. This is the first test of the inverse-square law using an optically levitated test mass of dimensions comparable to $\hat{I}»$, a complementary method subject to a different set of systematic effects compared to more established techniques.