Precision limits of magnetic T3-atomic gravimetry due to atomic cloud expansion
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A promising alternative for atomic gravimetry has been proposed using a magnetic-field gradient, which has a T3 scaling on the phase and does not require counterpropagating Raman beams. We analyze the limits in the precision of this method coming from the thermal expansion of the atomic cloud. We determine the requirements of microwave power and magnetic-field gradient to keep a resonant excitation. We find that there is a minimum microwave power required for the measurement. At high microwave powers, the relative precision in gravimetry (σg/g) approaches 10-7 in a single measurement, which is good enough for many field applications.