  In this paper we want to investigate the possibility of transferring
entanglement to two three-level separable atomic states over large distance
using the quantum repeater protocol. In detail, our model consists of eight
three-level atoms where only the pairs (1,2), (3,4), (5,6) and (7,8) are
prepared in maximally entangled states. Performing suitable interaction between
non-entangled three-level atoms (2,3) and (6,7) in two-mode cavities with
photon leakage rates in the presence of spontaneous emission leads to producing
entanglement between atoms (1,4) and (5,8), separately. Finally, the
entanglement between atoms (1,8) is successfully produced by performing
interaction between atoms (4,5) while spontaneous emission is considered in a
dissipative cavity. In the continuation, the effects of detuning, dissipation
and initial interaction time are considered on negativity and success
probability of the processes. The maxima of negativity are decreased by
increasing the detuning, in most cases. Also, the time evolution of negativity
is non-periodic in the presence of dissipation. Increasing the initial
interaction time has a constructive effect on negativity in all considered
cases. The oscillations of negativity are destroyed as time goes on and the
produced entanglement is stabled. The success probability of entangled state of
atoms (1,8) is tunable by controlling the detuning and dissipation. We show
that via justifying the involved parameters one can arrive at conditions in
which the decoherence effects are fully disappeared; as a result an ideal
quantum repeater can be achieved while atomic and field dissipations are taken
into account.
