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We investigate the effect of the inertial and non-inertial segments ofrelativistic motion on the quantum Fisher information of (1+1) Dirac fieldmodes confined to cavities. %For this purpose, a bipartite system comprising ofAlice's and Rob's cavities with appropriate boundary conditions is prepared.For the purpose, we consider the situation that Rob's cavity, initiallyinertial, accelerates uniformly with respect to its proper time and then againbecomes inertial while Alice's cavity remains inertial. The acceleration isassumed to be very small and its effects were analyzed in a perturbativeregime. For analysis, we consider $\theta$ parameterized two-qubit pureentangled state and a Werner state. In contrast to the degradation ofentanglement due to the relativistic motion between the cavities, the quantumFisher information of the pure composite system $\mathcal{F}_\theta$ withrespect to parameter $\theta$ is found to be invariant under the sameconditions. However, in the case of the Werner state, the quantum Fisherinformation displays periodic degradation, due to the inertial and non-inertialsegments of motion. Further, we investigate how this evolution process affectsthe quantum Fisher information distribution over the subsystems of Alice's andRob's cavities. We find that the quantum Fisher information over the Rob'scavity shows the periodic degradation behavior depending upon the parameter$\theta$ as well as the uniform acceleration for both the two qubit pure stateand Werner state. The quantum Fisher information over Alice's cavity remainsinvariant throughout the motion of Rob's cavity for the two qubit pure statewhereas for Werner state it is affected by the mixing parameter of the Wernerstate.

Quantum Fisher information of fermionic cavity modes in an accelerated motion