Here, we propose an experiment, based on levitation optomechanics, to measure gravitational forces from nanoscale objects. In the experiment, two optically trapped particles in ultrahigh vacuum conditions represent the source and test masses. Importantly, the source mass is a rotating Janus nanoparticle such that the test mass (sensor) experiences a periodic gravitational potential. Using realistic experimental parameters, a signal-to-noise ratio ≥ 1 is obtained for a Janus particle with radius ≥ 100 nm and a mass ≥ 10 fg. The proposed experiment enables first steps towards table-top tests of quantum gravity.
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