Chapter Six - Specular mirror interferometer

We propose an atom interferometer with a nonvanishing proper time difference by combining two optical Bragg gratings serving as the two beam splitters at the entrance and the exit of the interferometer, with two strongly detuned evanescent fields providing the two mirrors in the middle. With the help of an operator approach we determine the phase shift between the two arms and compare and contrast it with the familiar Mach-Zehnder interferometer as introduced by Kasevich and Chu which shows no proper time difference.