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We study a model of two coupled two-level atoms (qubits) interactingoff-resonance (at non-zero detuning) with a single mode radiation field. Thissystem is of special interest in the field of quantum information processing(QIP) and can be realized in electron spin states in quantum dots or Rydbergatoms in optical cavities and superconducting qubits in linear resonators. Wepresent an exact analytical solution for the time evolution of the systemstarting from any initial state. Utilizing this solution, we show how theentanglement sudden death (ESD), which represents a major threat to QIP, can beefficiently controlled by tuning atom-atom coupling and non-zero detuning. Wedemonstrate that while one of these two system parameters may not separatelyaffect the ESD, combining the two can be very effective, as in the case of aninitial correlated Bell state. However in other cases, such as a W-like initialstate, they may have a competing impacts on ESD. Moreover, their combinedeffect can be used to create ESD in the system as in the case of ananti-correlated initial Bell state. A clear synchronization between thepopulation inversion collapse-revival pattern and the entanglement dynamics isobserved at all system parameter combinations. Nevertheless, only for initialstates that may evolve to ESD, the population inversion revival oscillations,where exchange of energy between the atoms and the field takes place,temporally coincide with the entanglement revival peaks, whereas the populationcollapse periods match the ESD intervals. The variation of the radiation fieldintensity has a clear impact on the duration of the ESD at any combination ofthe other system parameters.

Manipulating entanglement sudden death in two coupled two-level atoms interacting off-resonance with a radiation field: an exact treatment