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Whether it still falls exactly like a normal atom is a question that classical physics cannot pose.","posed_since":"2015","precise":"In the quantum formulation of the equivalence principle (Zych and Brukner, arXiv 1502.00971), the internal mass-energy operator $M = m_0 + H_{\\int}/c^2$ may couple to gravity through operators $M_g$ and $M_i$ that differ off-diagonally. Bound the off-diagonal violation parameters for atoms prepared in coherent superpositions of hyperfine or optical clock states at better than $10^{-12}$, improving on the about $10^{-9}$ bound of Rosi et al 2017.","problem_ref":"f9d5e291404e38224e1f97e59c4f73181555482ecbd088d175d956512c9c9ffc","references":"","settled_by":"An atom interferometer with test atoms in clock-state superpositions measuring the differential acceleration with sub-$10^{-12}$ precision.","status_note":"","title":"Do atoms in internal-energy superpositions obey the equivalence 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