We consider metamolecule consisting of bosonic mode correlated with the two-level system: it can be, for example, plasmonic mode interacting with the quantum dot. We focus on the parameter range where all the correlations are strong and of the same order: interaction between bosonic mode correlated with the two-level system, external coherent drive and dissipation. Quantum Monte-Carlo simulations show a fluorescence of this system at dissipation larger than the driving amplitude and strong (by the order of magnitude) narrowing of its spectral line. This effect may be related to kind of a quantum stochastic resonance. We show that the fluorescence corresponds to finite domain over the coherent drive with sharp lower threshold and there is splitting of the Wigner function.Correlated bosonic modes and discrete spectrum systems attract much attention last time: they are key elements of applications in quantum optics [1][2][3][4][5] In most applications, correlated bosonic modes and discrete spectrum systems in the first approximation may be reduced to the Jaynes-Cummings class of models. They are quite well investigated except the parameter range where there is no well defined small or large interaction parameter or there is high level of dissipation and there are large fluctuations. After Ref. [24] we refer to these range as to the "no-man's-land" [25]. In these cases advanced computational efforts are required [26,27]. For applications mentioned above this parameter range is quite typical. In the real systems the noise is always present. Usually this is the problem especially for applications related to quantum effects. Recent experiments on single DNA hairpins show amplification of the response by stochastic noise [28,29]. Here we show partially motivated by experiments that noise may effectively increase coherence in metamolecule while the system occupies the "no-man's-land".In the simplest case the Jaynes-Cummings model (JCM) corresponds to the noisy bosonic mode correlated with the two-level system [30,31]. Electromagnetic mode in the resonator or the plasmon in the nanostructure may serve as the bosonic mode while ground and excited states of a molecule or a quantum dot may serve as the two-level system [1,2,5,32]. In the "no-man'sland" the Rabi frequency is of the order of dissipation in bosonic mode. From the fluctuation-dissipation theorem dissipation means noise. We do nonequilibrium quantum Monte-Carlo simulations [26,33,34] of the system and show that under coherent drive there is a kind of a dynamical "phase transition" driven by noise accompanied by by the narrowing of the fluorescence spectral line by the order of magnitude, enhancement of the signal to noise ratio and splitting of the Wigner function -it plays the role of the effective "order parameter". From experimental point of view this fluorescence regime may find wide applications where the strong noise is the unavoidable problem.We consider within JCM metamolecule, see Fig. 1. The dynamics of the system in Markov approximation is governed by ...