It is not difficult to envision that the pumping radiation could have also led to phase fluctuations; whose effect was thoroughly addressed elsewhere [@pra79013831; @pra77062308; @pra75062305]. Moreover, taking the recent advance in locking a phase in such a system into consideration, the rate at which the coherence superposition decays is set to be less than the spontaneous atomic decay rate.

In the midest of the efforts geared towards understanding how to create, manipulate, explain and relate entanglement with various nonclassical correlations, it becomes evident that the degree of detectable entanglement when different criteria are used is found to be different. The emerging disparity can be fundamentally linked to the difference in the physical contexts and assumptions involved in deriving the correlations [@jpb41145504]. In view of this, over the years, quite a large volume of work aimed at quantifying the degree of available entanglement has appeared [@prl771413]. Essentially, the proposed criteria are in the form of some sort of inequality, in most instances provide only sufficient conditions and on top of that practical realization is mostly intractable due to the involved impairment in the corresponding measurement strategies. Therefore, it would be imperative studying the nature of entanglement applying different criteria with 