  Nanomechanical resonator based on levitated particle exhibits unique
advantages in the development of ultrasensitive electric field detector. We
demonstrate a three-dimensional, high-sensitivity electric field measurement
technology using the optically levitated nanoparticle with a known net charge.
By changing the relative position between nanoparticle and parallel electrodes,
the three-dimensional electric field distribution is scanned. The measured
noise equivalent electric intensity with charge amount of 100 reaches the order
of {\rm{1\mu V/cm/H}}{{\rm{z}}^{{\rm{1/2}}}} at 1.4 \times {10^{ - 7}}mbar.
Linearity analysis near resonance frequency shows a measured linear range over
91dB limited only by the maximum output voltage of the driving equipment. This
work may provide avenue for developing a high-sensitive electric field sensor
based on optically levitated nano-resonator.
