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Simulation results for a particle launched into the plane of a trap in free fall (from to ) and then subject to a linearly increasing downward acceleration (along ) from 0 to 1 g (from to ). Data are plotted as (a) position of the particle and applied acceleration over time and (b) projections of particle motion. Simulation parameters are as described in the text. Note that the mean particle displacement is proportional to .
Trap construction detail. Dimensions referenced in the figure are , .
Observed particle displacement as a function of applied acceleration (with linear fits).
Measured effective spring constant as a function of trap voltage.
Power spectral density of observed particle drift with simulated and diffusion noise spectra overlaid. As the particle passes repeatedly through the Gaussian waist of a focused weak laser beam, its time-domain optical scattering signal reveals the amount of time spent in the beam waist and allows measurement of the particle’s closest approach to the optical axis (calibrated by applying known accelerations.) The large peak is from 60 Hz noise, and the side peaks are associated with resonances of the secular motion in the trap potential (verified by simulating the trap dynamics with stochastic forcing).
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