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In ultracold-atom and ion experiments, flexible control of the direction andamplitude of a uniform magnetic field is necessary. It is achieved almostexclusively by controlling the current flowing through coils surrounding theexperimental chamber. Here, we present the design and characterization of amodular, analog electronic circuit that enables three-dimensional control of amagnetic field via the amplitude and direction of a current flowing throughthree perpendicular pairs of coils. Each pair is controlled by one module, andwe are able to continuously change the current flowing thorough the coils inthe $\pm$4 A range using analog waveforms such that smooth crossing throughzero as the current's direction changes is possible. With the electricalcurrent stability at the 10$^{-5}$ level, the designed circuit enablesstate-of-the-art ultracold experiments. As a benchmark, we use the circuit tocompensate stray magnetic fields that hinder efficient sub-Doppler cooling ofalkali atoms in gray molasses. We demonstrate how such compensation can beachieved without actually measuring the stray fields present, thus speeding upthe process of optimization of various laser cooling stages.

Bidirectional, Analog Current Source Benchmarked with Gray Molasses-Assisted Stray Magnetic Field Compensation