Criticality-enhanced quantum sensing in the anisotropic quantum Rabi model

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 QRM. 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.

Automated summary

This study generalizes the dynamic framework for criticality-enhanced quantum sensing by the quantum Rabi model to its anisotropic counterpart and derives the corresponding analytical expressions for the quantum Fisher information. The results show 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, and the quantum Fisher information reaches a maximum for the isotropic QRM. At finite frequency scaling, the study analytically derives the inverted variance of higher-order correction and finds that it is more affected by the rotating-wave coupling than by the counterrotating-wave coupling.