  In open quantum systems, we study the quantum Fisher information of
acceleration for a uniformly accelerated two-level atom coupled to fluctuating
electromagnetic fields in the Minkowski vacuum. With the time evolution, for
the initial atom state parameter $\theta\neq\pi$, the quantum Fisher
information can exist a maximum value and a local minimum value before reaching
a stable value. In addition, in a short time, the quantum Fisher information
varies with the initial state parameter, and the quantum Fisher information can
take a maximum value at $\theta=0$. The quantum Fisher information may exist
two peak values at a certain moment. These features are different from the
massless scalar fields case. With the time evolution, $F_{max}$ firstly
increases, then decreases, and finally, reaches the same value. However,
$F_{max}$ will arrive at a stable maximum value for the case of the massless
scalar fields. Although the atom response to the vacuum fluctuation
electromagnetic fields is different from the case of massless scalar fields,
the quantum Fisher information eventually reaches a stable value.
