Reducing Number Fluctuations in an Ultracold Atomic Sample Using Faraday Rotation and Iterative Feedback

We demonstrate a method to reduce number fluctuations in an ultracold atomic sample using real-time feedback. By measuring the Faraday rotation of an off-resonant probe laser beam with a pair of avalanche photodetectors in a polarimetric setup, we produce a proxy for the number of atoms in the sample. We iteratively remove a fraction of the excess atoms from the sample to converge on a target proxy value in a way that is insensitive to environmental perturbations and robust to errors in light polarization. Using absorption imaging for out-of-loop verification, we demonstrate a reduction in the number fluctuations from 3% to 0.45% for samples at a temperature of 16.4 mu K over the time scale of several hours, which is limited by temperature fluctuations, beam-pointing noise, and photon shot noise.

Automated summary

This method demonstrates the reduction of number fluctuations in an ultracold atomic sample using real-time feedback, based on a proxy value derived from Faraday rotation measurements. Iteratively removing excess atoms from the sample to converge on a target value is shown to be robust to environmental perturbations and light polarization errors. Number fluctuations were reduced from 3% to 0.45% over several hours, with limitations posed by temperature fluctuations, beam-pointing noise, and photon shot noise.