Sketch of the Faraday imaging system and a resulting image (right) at T = 1.5 μK and N = 106 atoms. The polarization of the light is indicated (top left) by displaying cross sections of the imaging beam obtained from a rotation around the dashed-dotted lines.
Characterization of DFFI. (a) Faraday coefficient c F and photon scattering rate as a function of the detuning Δ. (b) Absorption image calibration factor α depending on the number of measurements with (dots) and without (triangles) Faraday scaling. (c) and (d) Temperature and atom number obtained from DFFI compared to results from absorption imaging. Arrows in the figures indicate the appropriate axes. In (a), (c), and (d), the data have been binned and the shaded regions indicate the standard error for each bin; in (b), the shaded region is the standard error of the measured value of α (see text).
Single-run magnetometry in an optical lattice. DFFI signal as a function of the applied magnetic field along the z axis. (Open circles) Magnetic field sweep over 0.93 G at |B r | = 0.053 G. (Full dots) Magnetic field sweep over 6.2 G at |B r | = 1.03 G. The inset shows the sensitivity of the offset field extraction for the two realizations as a function of number of included data points (centered around the signal minimum). The sensitivity is estimated as the error of the fit times the square root of time taken to record the included data points.
Monitoring of spatial dynamics. (a) Non-destructive measurement of the cloud position during a damped oscillation. (b) Non-destructive measurement of the cloud position during a decompression of the magnetic trap. The cloud position and oscillation frequency are shown within three time intervals during the decompression.
Signal-to-noise ratio in the measured phase shift. (a) SNRθ/Π for common dispersive imaging techniques (DFSI blue solid; PCI green dashed; DFFI red dotted-dashed; DPFI black dotted) as a function of the respective phase shift. (b) Relative SNRθ ratio for DFFI and DPFI vs. Faraday rotation angle for two values of cube suppression .
Far-detuned vector to scalar phase shift ratio |θF/θS| for hydrogen-like atoms with nuclear spin I.
Signal properties of common dispersive imaging methods.
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