Abstract
Levitated optomechanics is showing potential for precise force measurements.
Here, we report a case study, to show experimentally the capacity of such a
force sensor. Using an electric field as a tool to detect an applied Coulomb
force on levitated nanosphere. We experimentally study the spatial
displacement, of up to 7.1 nm, on the levitated nanosphere by imposing a DC
field. We further apply an AC field and demonstrate resonant enhancement of
force sensing when a driving frequency, $ømega_AC$, and the natural
frequency of the levitated mechanical oscillator, $ømega_0$, converge. We
directly measure a force of $3.0 1.5 10^-20$ N with 10 second
integration, at room temperature and at a pressure of $1.6 10^-5$
mbar.
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