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

TL;DR

This paper proposes a method to detect micro amplitude, low-frequency harmonic vibrations using an atomic Mach-Zehnder interferometer by analyzing variations in mean atomic numbers, introducing a vibrational factor F.

Contribution

It introduces a vibrational factor F to quantify atomic beam vibrations and demonstrates how to infer vibrations from mean atomic number measurements.

Findings

Vibrant factor F depends on relative displacements and initial phases.

F increases with initial phase.

Frequencies can be derived from mean atomic number measurements.

Abstract

We study the effects of atomic beams harmonic vibrations of micro amplitudes and low frequencies on the mean atomic numbers of the detectors in atomic Mach-Zehnder interferometer, where the two atomic beams are in the same wave surface and have the same phases. We propose a vibrant factor F to quantitatively describe the effects of atomic beams vibrations. It shows that: (i)the vibrant factor F depends on the relative vibrant displacements and the initial phases rather than the absolute amplitudes, (ii)the factor F increases with the increase of the initial phases, and (iii)the frequencies can be derived from equal time interval measurement of the mean atomic numbers. These results imply that it is possible to detect the vibrations of micro amplitudes and low frequencies by measuring the variations of mean atomic numbers.