The observed interference phase in the Rydberg atom experiment depends on uniform motion through the inhomogeneous electric field, not on acceleration.
Then, suppose field gradients are introduced which cause the two internal states to accelerate slightly differently
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Comment on "Matter-wave interferometry with helium atoms in low-$l$ Rydberg states''
The observed interference phase in the Rydberg atom experiment depends on uniform motion through the inhomogeneous electric field, not on acceleration.