The Effect of Vacuum Fluctuations on Quantum Metrology for a Uniformly Accelerated Atom

We studied, in the framework of open quantum systems, the dynamics of the quantum Fisher information of the parameters of the initial atomic state and atomic transition frequency for a uniformly accelerated polarizable two-level atom coupled in the multipolar scheme to a bath of fluctuating vacuum electromagnetic fields in Minkowski space-time. Our results show that the vacuum fluctuations in Minkowski space-time always make the quantum Fisher information decay, thus degrade the precision of the parameter estimation. The acceleration of the atom makes the quantum Fisher information of initial parameters of atomic state decay faster than those in case with static atom in Minkowski vacuum and even those in case with static atom in Minkowski thermal bath with corresponding Unruh temperature. The maxima of quantum Fisher information of atomic frequency and the optimal measurement time are shown to be smaller than those in the static atom in vacuum case as well as those in the corresponding thermal case.