Detecting the Harmonic Vibrations of Micro Amplitudes and Low Frequencies with Atomic Mach-Zehnder Interferometer

摘要

We study the effects of atomic beams harmonic vibrations of micro amplitudesand low frequencies on the mean atomic numbers of the detectors in atomicMach-Zehnder interferometer, where the two atomic beams are in the same wavesurface and have the same phases. We propose a vibrant factor F toquantitatively describe the effects of atomic beams vibrations. It shows that:(i)the vibrant factor F depends on the relative vibrant displacements and theinitial phases rather than the absolute amplitudes, (ii)the factor F increaseswith the increase of the initial phases, and (iii)the frequencies can bederived from equal time interval measurement of the mean atomic numbers. Theseresults imply that it is possible to detect the vibrations of micro amplitudesand low frequencies by measuring the variations of mean atomic numbers.