  In this work, we conduct an investigation on the optical emission properties
of a pumped-dissipative QD-cavity system within the Lindblad master equation
approach, where the cavity mode is modeled through the R-deformed realization
of the Heisenberg algebra (RDHA). We found that the parity deformation
parameter associated with the RDHA gives rise to a collective phenomenon by
reordering the one-photon optical transitions of the system, and it is
demonstrated that there are two critical values for this parameter where a new
type of spectral triplet arises in the emission spectrum. Moreover, our results
reveal that depending on the critical value of the deformation parameter, the
spectral triplets observed in the emission spectrum exhibit signatures of the
weak- and strong-coupling regimes simultaneously.
