fluctuations and dephasing on the evolution of the entanglement generation appears to be of a paramount importance.

Over the years, the issue of phase fluctuations has attracted a considerable attention [@p149]. In these studies the phase and photon number operators are presumed to fulfill a canonical commutation relation. In a more recent times, assuming the phase as randomly fluctuating $c$-number parameter, it is shown that the phase fluctuations substantially decrease the degree of entanglement [@pra77062308; @pra79013831]. Investigation of a similar nature where the coherence is assumed to be partially prepared is also considered [@oc283781; @sinta; @sint]. In the present contribution, in order to investigate the effects of the phase fluctuations and dephasing on the time evolution of the generated entanglement in depth, coherently pumped correlated emission laser turns out to be a convenient tool (detailed description of the physical model can be found, for instance, in [@jpb41055503]). In this model, the three-level atoms are taken to be prepared initially in a partial 50:50 probability to be in the upper and lower energy levels. The atoms prepared in this manner are injected into the cavity at a constant rate and externally driven with a resonant coherent radiation while traversing the cavity. 