  Quantum systems that undergo quantum phase transitions exhibit divergent
susceptibility and can be exploited as probes to estimate physical parameters.
We generalize the dynamic framework for criticality-enhanced quantum sensing by
the quantum Rabi model (QRM) to its anisotropic counterpart and derive the
correspondingly analytical expressions for the quantum Fisher information
(QFI). We find that the contributions of the rotating-wave and
counterrotating-wave interaction terms are symmetric at the limit of the
infinite ratio of qubit frequency to field frequency, with the QFI reaching a
maximum for the isotropic quantum Rabi model. At finite frequency scaling, we
analytically derive the inverted variance of higher-order correction and find
that it is more affected by the rotating-wave coupling than by the
counterrotating-wave coupling.
