Applied Mathematics & Information Sciences

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We investigate the dynamics of the QFI (quantum Fisher information) of two two-level atoms and cavity field mode when the time-dependent coupling is neglected and considered. We use the concurrence as a quantifier of the atom-atom entanglement while the nonlocal correlation between the two atoms and optical field is measured by the von Neumann entropy. We analyze the impact of the number of photon transition and initial atomic state setting on the entanglement measures and QFI for two parameters of the atomic state estimation. Also, the effect of the time dependent coupling in terms of the atomic speed on the evolution of the nonlocal correlation and QFI is discussed. It is shown that the number of photon transition and atomic speed have a significant role on the dynamical properties of QFI and entanglement. Also, it is found that there a clear relationship between the entanglement and QFI.

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