In this paper, a scheme for the generation of long-living entanglementbetween two distant {\Lambda}-type three-level atoms separately trapped in twodissipative cavities is proposed. In this scheme, two dissipative cavities arecoupled to their own non-Markovian environments and two three-level atoms aredriven by the classical fields. The entangled state between the two atoms isproduced by performing Bell state measurement (BSM) on photons leaving thedissipative cavities. Using the time-dependent Sch\"ordinger equation, weobtain the analytical results for the evolution of the entanglement. It isrevealed that, by manipulating the detunings of classical field, thelong-living stationary entanglement between two atoms can be generated in thepresence of dissipation
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