The Classical Harmonic Vibrations of the Atomic Centers of Mass with Micro Amplitudes and Low Frequencies Monitored by the Entanglement between the Two Two-level Atoms in a Single mode Cavity

TL;DR

This paper investigates how classical harmonic vibrations with micro amplitudes and low frequencies affect entanglement between two atoms in a cavity, proposing a method to monitor vibrations via quantum entanglement measurements.

Contribution

It introduces a vibrancy factor to quantify the impact of vibrations on atomic entanglement and demonstrates how entanglement dynamics can reveal vibrational frequencies.

Findings

Vibrant factor depends on relative displacements and initial phases.

Concurrence decreases significantly due to vibrations.

Vibrational frequency can be inferred from maximum concurrence.

Abstract

We study the entanglement dynamics of the two two-level atoms coupling with a single-mode polarized cavity field after incorporating the atomic centers of mass classical harmonic vibrations with micro amplitudes and low frequencies. We propose a quantitative vibrant factor to modify the concurrence of the two atoms states. When the vibrant frequencies are very low, we obtain that: (i) the factor depends on the relative vibrant displacements and the initial phases rather than the absolute amplitudes, and reduces the concurrence to three orders of magnitude; (ii) the concurrence increases with the increase of the initial phases; (iii) the frequency of the harmonic vibration can be obtained by measuring the maximal value of the concurrence during a small time. These results indicate that even the extremely weak classical harmonic vibrations can be monitored by the entanglement of quantum states.