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The mean field approximation is used to investigate the general features ofthe dynamics of a two-level atom in a ferromagnetic lattice close to the Curietemperature. Various analytical and numerical results are obtained. We firstlinearize the lattice Hamiltonian, and we derive the self-consistency equationfor the order parameter of the phase transition for arbitrary direction of themagnetic field. The reduced dynamics is deduced by tracing out the degrees offreedom of the lattice, which results in the reduction of the dynamics to thatof an atom in an effective spin bath whose size is equal to the size of a unitcell of the lattice. It is found that the dephasing and the excited stateoccupation probability may be enhanced by applying the magnetic field alongsome specific directions. The dependence on the change of the temperature andthe magnitude of spin is also investigated. It turns out that the increase ofthermal fluctuations may reduce the occupation probability of the excitedstate. The entanglement of two such atoms that occupy non-adjacent cells isstudied and its variation in time is found to be not much sensitive to thedirection of the magnetic field. Entanglement sudden death and revival is shownto occur close to the critical temperature.

Quantum mean-field treatment of the dynamics of a two-level atom in a simple cubic lattice