  In many-body quantum systems, the quantum Fisher information an observer can
obtain is susceptible to decoherence. Consequently, quantum enhanced metrology,
such as Heisenberg scaling, cannot usually be achieved. We show, via two
distinct methods, that by applying periodic quantum error corrections, we can
achieve the Heisenberg scaling for an extended period of time on a three-qubit
Tavis-Cumming Model, where three two-level atoms interact with a single cavity
mode, under certain approximations. The generalization to arbitrary number of
atoms case is also discussed.
