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The AC phase appears when a particle carrying a magnetic dipole propagates in a transverse electric field. The first measurement of the AC phase was done with a neutron interferometer in 1989 by A. Cimmino \\textit{et al.} (Phys. Rev. Lett. \\textbf{63}, 380, 1989) and all the following experiments were done with Ramsey or Ramsey-Bord\\'e interferometers with molecules or atoms. 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