  By implementing a quantum repeater protocol, our aim in this paper is the
production of entanglement between two two-level atoms locating far from each
other. To make our model close to experimental realizations, the atomic and
field sources of dissipations are also taken into account. We consider eight of
such atoms (1, 2, ..., 8) sequentially located in a line which begins (ends)
with atom 1 (8). We suppose that, initially the four atomic pairs (i; i + 1), i
= 1; 3; 5; 7 are mutually prepared in maximally entangled states. Clearly, the
atoms 1; 8, the furthest atoms which we want to entangle them are never
entangled, initially. To achieve the purpose of paper, at first we perform the
interaction between the atoms (2; 3) as well as (6; 7) which results in the
entanglement creation between (1; 4) and (5; 8), separately. In the mentioned
interactions we take into account spontaneous emission rate for atoms and field
decay rate from the cavities as two important and unavoidable dissipation
sources. In the continuation, we transfer the entanglement to the objective
pair (1; 8) by two methods: i ) Bell state measurement (BSM), and ii ) cavity
quantum electrodynamics (QED). The successfulness of our protocol is shown via
the evaluation of concurrence as the well-established measure of entanglement
between the two (far apart) qubits (1; 8). We also observe that, if one chooses
the cavity and the atom such that holds, the effect of dissipations is
effectively removed from the entanglement dynamics in our model. In this
condition, the time evolutions of concurrence and success probability are
regularly periodic. Also, concurrence and success probability reach to their
maximum values in a large time interval by decreasing the detuning in the
presence of dissipation.
