Three-Axis Measurement and Cancellation of Background Magnetic Fields to less than 50 uG in a Cold Atom Experiment
Aaron Smith, Brian E. Anderson, Souma Chaudhury, and Poul S. Jessen

TL;DR
This paper presents a method to measure and cancel background magnetic fields in cold atom experiments, achieving less than 50 microGauss residual fields, enabling more precise quantum control.
Contribution
The authors introduce a technique using atomic spins to independently measure and cancel DC and AC magnetic field components along three axes with high resolution.
Findings
Achieved magnetic field reduction to below 50 microGauss rms.
Reduced AC magnetic noise by approximately tenfold.
Demonstrated stability of the environment for effective field cancellation.
Abstract
Many experiments involving cold and ultracold atomic gases require very precise control of magnetic fields that couple to and drive the atomic spins. Examples include quantum control of atomic spins, quantum control and quantum simulation in optical lattices, and studies of spinor Bose condensates. This makes accurate cancellation of the (generally time dependent) background magnetic field a critical factor in such experiments. We describe a technique that uses the atomic spins themselves to measure DC and AC components of the background field independently along three orthogonal axes, with a resolution of a few tens of uG in a bandwidth of ~1 kHz. Once measured, the background field can be cancelled with three pairs of compensating coils driven by arbitrary waveform generators. In our laboratory, the magnetic field environment is sufficiently stable for the procedure to reduce the…
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