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Atom interferometry is a powerful experimental technique that can be employedto search for the oscillation of atomic transition energies induced byultralight scalar dark matter (ULDM). Previous studies have focused on thesensitivity to ULDM of km-length atom gradiometers, where atom interferometersare located at the ends of very long baselines. In this work, we generalize thetreatment of the time-dependent signal induced by a linearly-coupled scalarULDM candidate for vertical atom gradiometers of any length and find correctionfactors that especially impact the ULDM signal in short-baseline gradiometerconfigurations. Using these results, we refine the sensitivity estimates in thelimit where shot noise dominates for AION-10, a compact 10 m gradiometer thatwill be operated in Oxford, and discuss optimal experimental parameters thatenhance the reach of searches for linearly-coupled scalar ULDM. After comparingthe reach of devices operating in broadband and resonant modes, we show thatwell-designed compact atom gradiometers are able to explore regions of darkmatter parameter space that are not yet constrained.

Refined ultralight scalar dark matter searches with compact atom gradiometers