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Using the nonperturbative method, we study the exact entanglement dynamics oftwo two-level dipole-dipole interacting atoms coupled to a common non-Markovianreservoir with different coupling strengths. Besides analyzing the conditionsfor the existence of steady state, we find, though the dipole-dipoleinteraction could destroy the stationary entanglement, that relatively strongdipole-dipole interaction does suppress the disentanglement in the initialperiod of time. These results are helpful for the practical engineering of theentanglement in the future.

The effect of dipole-dipole interaction for two atoms with different couplings in non-Markovian environment